# With the origin as the center of dilation, rectangle PQRS will be dilated by a scale factor of 6x24 to form rectangle P’Q’R’S’ . 220x219 What will be the length of 23x10 ?

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1. ### Algebra

With the origin as the center of dilation, rectangle PQRS will be dilated by a scale factor of 6x24 to form rectangle P’Q’R’S’ . 220x219 What will be the length of 23x10 ? A 3 units B 2 units C 27 units D 18 units I chose D, I read and watched a video on how to do this...
2. ### Algebra

1.The coordinates of rectangle ABCD are A(2, 2), B(2, 5), C(6, 5), and D(6, 2). Using rectangle ABCD, find the coordinates of the rectangle that results when the center of dilation is the origin and ABCD is dilated by a scale factor of 3.

rectangle is dilated by 9. image is dilated using scale factor of 1/8. How do I figure out the scale factor that the original rectangle cold have been dilated to get the final rectangle
4. ### Geometry - Dilation of a square

The preimage of square ABCD has its center at (8,-8) and has an area of 4 square units. The top side of the square is horizontal. The square is then dilated with the dilation center at (0,0) and a scale factor of 2. What are the coordinates of the vertex of the image of square...
5. ### Math

A rectangle is dilated using a scale factor of 6. The image is then dilated using a scale factor of 1/3. What scale factor could you use to dilate the original rectangle to get to the final rectangle. Explain.
6. ### geometry

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?
7. ### geometry

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ? Use the distance formula to help you decide: .
8. ### Geometry

Myles was asked to draw a triangle xyz and then dilate it using the origin aa the center of dilation and a scale factor of 0.75.he thinks adding 0.75 units to the coordinates of the vertices of xyz will help him draw the dilated image. Explain why miles is incorrect,and what ...
9. ### math

Rectangles ABCD and PQRS have the same length-to-width ratio. Calculate the length of rectangle PQRS rectangle abcd: L: 30 cm W: 18 cm rectangle pqrs: L: ? W: 27 cm
10. ### Geometry

Point B(-3,7) is reflected across the line y=-x and then dilated with a scale factor of 3 and the center of dilation at the origin. What are the coordinates of point B" under the composition of transformations
11. ### math

In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A, and B map to C', A', and B' after the dilation. What is the length of ? Use the distance formula to help you decide.
12. ### Math I REALLY NEED HELP!!!!!!!!!

A figure is dilated by a scale factor of 4. If the origin is the center of dilation, what are the coordinated in the original figure of a vertex located at (8,8) in the enlarged figure? A/(2,2) B/(4,4)

A figure is dilated by a scale factor of 4. If the origin is the center of dilation, what are the coordinated in the original figure of a vertex located at (8,8) in the enlarged figure? A/(2,2) B/(4,4) No one has answered

Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16, 2). The coordinates of the image are (11, 15), (9, 12), (6, 12), and (4, 15). What is the scale factor of the dilation? 0.25 0.33 0.5 0.75
15. ### math

A triangle has vertices with coordinates (2, 0), (3, -1), and (-2, -5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image.
16. ### math

A triangle has vertices with coordinates (2, 0), (3, -1), and (-2, -5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image.
17. ### geometry

AB has a length of 5 cm the line segment is dilated to produce A'B' which has a length of 2 cm what is the scale factor of the dilation
18. ### coordinate algebra

The area of a rectangle is found by multiplying the length by the width: A = lw. A certain rectangle has an area of x2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle. In the form of a paragraph, describe the process necessary to factor the area ...

openstudy(.)com/updates/attachments/514a5d2ae4b05e69bfac38d2-mimisilly-1363828099165-ikk.png The dashed triangle is a dilation image of the solid triangle with the center at the origin. Is the dilation a enlargement or reduction? Find the scale factor. I know this is a ...
20. ### math

Given a dilation with the origin O (0, 0), by observation determine the scale factor "k." DO,K = (6, 12) (3, 6) What is the scale factor K = a0 Is the dilation an expansion or contraction? a1
21. ### math

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).The slope of MN is
22. ### Gemotery

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
23. ### Math

find the coordinates of the image of the point (5, -1) dilated with center at the origin, scale factor 3
24. ### math

Quadrilateral PQRS is a parallelogram. If adjacent angles are congruent, which statement must be true? A. PQRS is a square. B. PQRS is a rectangle. C. PQRS is an isosceles trapezoid. D. PQRS is a rhombus
25. ### Geometry

find the coordinate of the image of the point (-3, -1) dilation with center at the origin, scale factor 2. a. (1.5, .5) b. (6, 2) c. (-6, -2) d. (-1.5, -.5)
26. ### Geometry

A segment has endpoints X (-6,2) and Y (-1,-3). Which are the coordinates of the image for a dilation with scale factor of 1.5 and center at the origin? A. X'(-7.5) Y (-2.5,-5.5) B. X'(-4.5) Y (.5,-5.5) C. X'(-3,1) Y (-.5,-1.5) D. X'(-9,3) Y (-1.5,-4.5) <<<<<
27. ### algebra, HELP!

9. The sides of a rectangle are increased by a scale factor of 4. The perimeter of the smaller rectangle is 20 cm. What is the perimeter of the larger rectangle? (1 point) 320 cm 80 cm 120 cm 60 cm 10. A right triangle has an area of 13 m2. The dimensions of the triangle are ...
28. ### geometry

rectangle a is similar to smaller rectangle b. the scale factor is 5/3. if the area of rectangle a is 150 square inches, what is the area of rectangle b?
29. ### math-8

suppose hector dilates the rectangle shown below with the center of dilation at 0,0 and a scale factor of 2 and then translates the figure 1 unit to the left. what will be the coordinates the vertices of the similar figure that results, One point on figure is -3,2
30. ### Math help ms sue.

Multiple Choice 1. Write the ratio in the simplest form. 45:15 (1 point) 9:3 3:1 1:3 4:1 2. Solve the following proportion. r over five equals nine over twenty-one (1 point) r = 2.14 r = 9 r = 11.66 r = 37.8 3. Sarah’s mother has a miniature village modeled after her home ...
31. ### Math

Multiple Choice 1. Write the ratio in the simplest form. 45:15 (1 point) 9:3 3:1 1:3 4:1 2. Solve the following proportion. r over five equals nine over twenty-one (1 point) r = 2.14 r = 9 r = 11.66 r = 37.8 3. Sarah’s mother has a miniature village modeled after her home ...
32. ### Geometry

Hello! Please help! The dashed triangle is a dilation image of the solid triangle with the center at the origin. Is the dilation an enlargement or reduction? Find the scale factor of the dilation. The solid triangle has the points A(-6,0) B(6,5) and C(6,-6). The dashed ...
33. ### Math: Geometry

isosceles trapezoid ABCD is shown below with a line ef drawn through its center. Of the isosceles trapezoid is dilated using a scale factor of 1/2 and a line is drawn through the center of the new dilated figure, what relationship will that line have with line EF? An image ...

#1 Write the ratio in the simplest form. 30 : 6 15 : 3 6 : 6 5 : 1 2 :3 #2 Write the ratio in the simplest form. 96 : 12 1 : 8 48 : 6 32 : 4 8 : 1 #3 Solve the proportion. x/3 = 4/6 x = 2 x = 4 x = 6 x = 8 #4 Solve the proportion. 2/y = 3/12 x = 2 x = 4 x = 6 x = 8 #5 Solve ...
35. ### math

Given a dilation with the origin O (0, 0), by observation determine the scale factor "K." DO, K = (5, 0) (10, 0) The dilation an expansion. true or false
36. ### math117

The area of a rectangle of length x is given by 3x2 +5x. Find the width of the rectangle. The area of a rectangle with width t is given by 33t - t 2. Factor the expression and determine the length of the rectangle in terms of t length times width=area, so factor out an x to ...
37. ### math

a rectangle has a base of 25 in. and a height of 15 in. if the shape is dilated with a scale factor of .6, what is the area of the new shape?
38. ### Pre-Algebra

A rectange has dimensions of 1 and 6. Another rectangle was drawn from it using a scale factor of 1.5. A. The area of the large rectangle is how many times the area of the small rectangle? B. The perimter of the large rectangle is how many times the perimeter of the small ...
39. ### Geometry (Please check my work)

A segment has endpoints M(6,15) and N(-3,9). The image of the segmen for a dilation with center (0,0), has endpoints M'(2,5)and N (-1,3). What is the scale factor of dilation? A. 2<<<< B. 3 C. 1/2 D. 1/3 I'm not confident with this answer because I still don't ...
40. ### Maths

the sides of my rectangle are in a ratio 1:3. my rectangle is scaled up by a factor of 4. what is the length of my new rectangle, shown below?
41. ### math

A rectange has dimensions of 1 and 6. Another rectangle was drawn from it using a scale factor of 1.5. A. The area of the large rectangle is how many times the area of the small rectangle? B. The perimter of the large rectangle is how many times the perimeter of the small ...
42. ### math

If the width of the image is 5 inches and the width of the preimage was x. What is the scale factor and center of dilation at the origin
43. ### geometry

a rectangle has an area of 48 inches squared every dimention of the rectangle is multiplied by a scale factor and the new rectangle has an area of 12 inches squared what is the scale factor?
44. ### math

a rectangle has length (5-squareroot12)m and breadth (4+6/squareroot3)m. express in the form a+bsquareroot3, where a and b are integers, i)the area of the rectangle ii)the square of the length of the diagonal of the rectangle
45. ### math

a wire whose length is at most 114cm,is bent to form a rectangle.If the length of the rectangle is 5cm longer than the width, what is the maximum area of the rectangle?
46. ### Math

The sides of a rectangle are increased by a scale factor of 4. The perimeter of the smaller rectangle is 20 cm. What is the perimeter of the larger rectangle?
47. ### Math

If the length of a rectangle is (2x-1)cm and its width is (x+3)cm. How do i write an expression in the form ax^2+bx+c for the area of the rectangle? Given that the area of the rectangle is 294cm^2, determine the value of x and state the dimensions of the rectangle in cms?? ...
48. ### FACTORING POLYNOMIALS

How would you factor the problem: 7-23r+6r to the second power (only 6r is to the second power) And if a length of a rectangle i 3 more than twice the width and the are is 90 cm squared than what are the dimensions of the rectangle? Oh its not rectangle i its rectangle IS ...
49. ### math

A scale drawing of a kitchen is shown below. The scale is 1 : 20. A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches. Show your work to determine the area of the room in square feet
50. ### geometry

m(0,3) n(6,0) p(0,-3) scale factor=-1/3 how do you do this i have to draw the image of the figure with given vertices under the dilation with the given scale factor centered at the origin
51. ### geometry

m(0,3) n(6,0) p(0,-3) scale factor=-1/3 how do you do this i have to draw the image of the figure with given vertices under the dilation with the given scale factor centered at the origin
52. ### math

a rectangle is twice as long as it is wide. if both of its dimensions are increased by 4m, its area is increased by 88m^2 find the dimensions of the original rectangle Original rectangle = w for width and 2w for length. Area = w x 2w Larger rectangle = w+4 for width and 2w+4 ...
53. ### algebra 2

Carlos wants to make a scale drawing of a rectangle. he wants the rectangle to have a length of (x-1) units and an area of 1-x/x^2+1 square units. What can you say about how wide the rectangle should be? Explain.
54. ### algebra

P(1, 3) and R(5, 5) are the endpoints of a diagonal of the rectangle PQRS. Which sides of the rectangle are parallel to the x-axis? To the y-axis? What is the perimeter of the rectangle?
55. ### Math

What is the scale factor from rectangle EFGH to rectangle ABCD?
56. ### Geometry

2 similar rectangles have areas of 6in and 24 in. What is the scale factor of the smaller rectangle to the larger rectangle?
57. ### algebra , help

Can someone help me set up the equations thanks. Directions: Solve each of the following applications. Give all answers to the nearest thousandth. Problem: Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the...
58. ### Geometry

Referring to the figure below (not to scale), the perimeter of the rectangle is 48. The length of the rectangle is W + 6, where W is the width. Find the length.
59. ### Calculus

A rectangle is bounded by the x-axis and the semicircle y= ã(25-x^2). What length and width should the rectangle have so that the area is maximum? Place the semi-circle so it's center coincides with the origin. If you go a distance x to the right the max height is sqrt(25-x...
60. ### math

if you have two rectangles one is 3ft wide and 9ft long and the other is 1 ft wide and 3ft long what is the scale factor form small rectangle to large rectangle? what is the scale from large to small? would it be 1/3 and 3/1?
61. ### Math

1. Write the ratio in the simplest form. 50:10 (a) 25:5 (b) 10:2 (C) 5:1* (D) 1:5 2. Solve the following proportion. p/6=7/8 (a) p=5.25 (b) p=8 (c) p=10.5* (d) p=42 3. Chris's uncle has a model car. The model is 6 inches long and 3 inches wide. The actual cars is 75 inches ...
62. ### math

i have math homework and it says i have to find 1 pair of rectangle that are simular and find the scale factor but i cant find the scale factorthe k rectangle is 4 cubes base by 3cubes height and n rectangle is 12 cubes base and 1 cube height but i cant find the scal factor ...
63. ### Math 2

The rectangle below has an area of 30k^3+6k^2 The width of the rectangle (in meters) is equal to the greatest common monomial factor of 30k^3 and 6k^2 What is the width and length of the rectangle? Width:6k^2 Length: I couldn't find the length I need to be explained of how to ...
64. ### Math

In rectangle PQRS, diagonal PR makes a 60 degrees angle with side PS. If PR =10, what is the area of the rectangle?
65. ### 7th grade math last question!

#11 The coordinate of rectangle ABCD are given. Find the coordinates of its image after a dilation with the scale factor of 2. A (2,4) B (-3, -1) C (0,9) D (6,-4) I DESPERATELY NEED HELP WITH THIS QUESTION IT ISN'T MULTIPLE CHOICE SOMEONE HELP PLEASE!!!!
66. ### geometry

a rectangle PQRS inscribed in a quadrant of circle of radius 13cm. find area of rectangle.
67. ### Math

1. Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (–1, 2) and (3, –3). (2, 4) and (6, 6) (2, 4) and (6, 6) (–2, 4) and (6, –6) (2, –1) and (–3, 3) 2. Given a scale factor of one-half , find the coordinates for ...
68. ### Math

A circular copper wire of radius 7cm is bend to form a rectangle. If the breadth and the length of the rectangle are in the 4:7 respectively. What is the breadth of the rectangle?
69. ### Math

A circular copper wire of radius 7cm is bent to form a rectangle. If the breadth and the length of the rectangle are in the ratio 4:7 respectively. What is the breadth of the rectangle?
70. ### Algebra/geometry

a rectangle has a width of 4 cm less than it's length. if a new rectangle is formed by increasing the width 5 cm and decreasing the length 3 cm, the area of this resulting rectangle is 177 cm squared. what are the dimensions of the original rectangle?
71. ### Math

The perimeter of rectangle Z is equal to its area.Rectangle Y has the same perimeter as rectangle Z.The length of rectangle Y is 5 inches and width of rectangle Z.
72. ### Math

(05.01)A scale drawing of a living room is shown below: A rectangle is shown. The length of the rectangle is labeled 3 inches. The width of the rectangle is labeled 5.5 inches. The scale is 1 to 30. What is the area of the actual living room in square feet? Round your answer ...
73. ### Algebra

Can you please review to see if I am on the right track with this problem: The length of a rectangle is 2 centimeters less than two times the width of the rectangle. If the perimeter of the rectangle is 98 centimeters, what is the length of the rectangle? Write a system of ...
74. ### Geometry

rectangle FGHK The length of FH is 9 cm. What is the length of GK? C is the center of the rectangle 4 is the height 4.5 measure from F to C 4.5 from H to C
75. ### Math Urgent

A rectangle of length 4cm and width 3cm has one vertex at the origin of a system of axes and another vertex on a quarter of a circle whose center is also at the origin. Solve for the area
76. ### geometry

Line l has the equation y=1/2x-4. Write the equation of the image of l after a dilation with a scale factor of 1/4 centered at the origin. Write your answer in slope-intercept form?
77. ### physics

The figure below shows three charges at the corners of a rectangle of length x = 0.65 m and height y = 0.42 m. What is the electric potential at the center of the rectangle? the picture is of a rectangle with -6.1,+2.7,-3.3 as charges. Your submitted answer is : -4.67e4 V I ...
78. ### Math

answer to travis has designed a rectangle with an area of 59 square units. his rectangle is the smallest rectangle with whole number side lengths. what are the length and width of the rectangle, explain your reasoning. what is the perimeter of the rectangle? explain your ...
79. ### maths

the length of a rectangle is 3 less than 5 times its width. Write a simpified algebriac expression for the perimeter of a rectangle. If the rectangle width is tripled and its length is doubled,the perimeter of new rectangle is 92cm greater than the original perimeter. Find the...
80. ### Math (2 of 3)

4. Find the GCF of the polynomial, then factor. 8v⁶ + 2v⁵ - 10v⁹ 5. Simplify the product of the binomial [5t + 4]² 6. A rectangle has dimensions 3x  1 and 2x + 5. Write an expression for the area of the rectangle as a product and in standard form. 7. Factor m² + 9m...
81. ### Geometry

A segment with endpoints (3, -2) and (4, 2) is dilated to the image segment with endpoints (9, -6) and (12, 6). What is the scale factor for the dilation? 3 2 6 **my choice 9 **i feel its this one too, im stuck
82. ### math

I have a question that says one rectangle has a 3x4 centimeter area. If I make another rectangle, what's the area if the scale factor is 4?
83. ### math

The scale factor for two similar retangles is 3. If the area of the smaller rectangle is 8m^2, what is the area of the larger rectangle.
84. ### math

The scale factor for two similar rectangles is 3. If the area of the smaller rectangle is 8 m2, what is the area of the larger rectangle
85. ### Math

The length of rectangle A is 1/3 the length of rectangle B.The width of rectangle A is twice the width of rectangle B.Find the ratio of the area of rectangle A to the area of rectangle B.
86. ### math

The scale factor for two similar rectangles is 3. If the area of the smaller rectangle is 8 m2, what is the area of the larger rectangle? (1 point)24m2 192m2 72m2 108m2
87. ### linear-equations-in-one-variable

the length of a rectangle exceeds its breadth by 4 cm. if length and breadth are each increased by 3 cm, the area of the new rectangle will be 81 cm sqsq morthan that of the given rectangle. find the length and breadth of the given rectangle.
88. ### geometry

A rectangle has a perimeter of 4242 inches. The width of the rectangle is 33 inches less than one half 1/2 the length. What are the dimensions of this​ rectangle? Write your answer in the form​ "width, length thank you
89. ### math

The length, l, of a rectangle is 2 feet less than three times the width, w, of the rectangle. The area of the rectangle is 481 square feet. Find the length and width of the rectangle. how do i work this problem out?
90. ### Algebra 1

The perimeter of a rectangle equals the sum of the lengths of its four sides. If the width of a rectangle is 4 inches and its perimeter is 36 inches, find the length of the rectangle. The length of the rectangle is ? My answer was 144, is this correct?
91. ### math

the length of a rectangle exceeds its breadth by 4cm. The length and breadth are increased by 3 cm .The area of the new rectangle will be 81cm square more than the given rectangle .Find the dimensions of the given rectangle?
92. ### 7th grade math help 2 question

#11 The coordinate of rectangle ABCD are given. Find the coordinates of its image after a dilation with the scale factor of 2. * A (2,4) B (-3, -1) C (0,9) D (6,-4) #10 On a blueprint, 1 inch = 13 feet. If the dimensions of the playroom on the blueprint are 0.35 inches x 1.25 ...
93. ### math- geometry

A dilation with a scale factor of 4 maps figure A onto A'. By what scale factor would another dilation map figure A' back to figure A? is it 1/4?
94. ### maths

the length of a rectangle is 4 times than its width. the area of the rectangle is 1024cm2 find the length of the rectangle the perimeter of the rectangle 4 square has the same perieter as that its rectangle. Find the area of the square.

the perimeter of a rectangle is 56 inches> the width of the rectangle is three-fourth of the length. Find the length of the diagonal of the rectangle. please help me!!!
96. ### math

The length of a rectangle is 5 cm more than twice its width. This is shown in the diagram below. If the perimeter of the rectangle is 232 cm, how long is the length of the rectangle, in centimeters?
97. ### Math

The length of a rectangle is 14 centimeters less than twice its width. The perimeter of the rectangle is 62cm. What are the dimensions of the rectangle? Here is what I did: P=2L+2W 62=2(14-W)+2W 62=28-W+2W 28-28 ------------ 34=-W+2W +W +W ------------ 34=3W -- -- 3 3 W=11.3 ...
98. ### math

Two less than three times the width of a rectangle is equal to the length. The area of the rectangle is 65 square ft. What is the length of the rectangle?
99. ### geometry

What is scale factor for the dilation of segment AB into segment CD? Draw the dilation of segment AB with scale factor 2/3 and label it segment EF. The figure is 2 || segments with point A(3, -3) with B(6,3). Other segment is C(4,-4) with D(8,4). Cant seem to get it figured ...
100. ### math

The length of a rectangle is 8 less than twice the length. If the perimeter of the rectangle is 194 inches, find the dimensions of the rectangle.