# A farmer had a plot in the shape of a parallelogram. He divided into three equal parts, each of which was a separate parallelogram. He then gave his son one-third of the land. The son, who realized that the district

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1. ### maths-parallelogram

A farmer had a plot in the shape of a parallelogram. He divided into three equal parts, each of which was a separate parallelogram. He then gave his son one-third of the land. The son, who realized that the district in which he lived had no school, decided to set one school up...
2. ### maths-parallelogram

A farmer had a plot in the shape of a parallelogram. He divided into three equal parts, each of which was a separate parallelogram. He then gave his son one-third of the land. The son, who realized that the district in which he lived had no school, decided to set one school up...
3. ### maths

A farmer had a plot in the shape of a parallelogram. He divided into three equal parts, each of which was a separate parallelogram. He then gave his son one-third of the land. The son, who realized that the district in which he lived had no school, decided to set one school up...
4. ### math

The picture shows an orange parallelogram split into 8 equal parts and a green parallelogram split into 8 equal parts. Drag figures so that the total area is equal to the number given.
5. ### Geometry

A shopping center plot of land is in the shape of a parallelogram. Give two other facts about the plot or roads through it. I do not understand can you please explain? I know that A quadrilateral is a parallelogram if and only if it has two pairs of parallel sides. A ...
6. ### maths-parallelogram

there is a man who decided to make a garden either in shape of rectangle or parallelogram in front of his house and fence it. but he chooses the rectangle shape. The parallelogram whose length is 20m and width is 14m. The cost of fencing is Rs.2000 per metre. a) What was the ...
7. ### geometry theorems

I have six questions which will be on a test two weeks from now, and I do not understand. Help me find out these theorems for the blanks. 1. If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a_______? 2. If the diagonals of a ...
8. ### Math

I have 5 friends. I bought three pizzas (all the same size). One was divided into 4 equal parts, the 2nd was divided into 6 equal parts and the 3rd pizza was divided into 8 equal parts. Is there any way I can show how to share these pieces so that each of of us gets the same ...
9. ### math

A parallelogram has an area of 8x^2 - 2x -45. The height of the parallelogram is 4x + 9. I know the formula for a parallelogram is A=bh. Please work and explain how I get the length of the base of the parallelogram. Thanks
10. ### Math

the distance between the center of symmetry of a parallelogram and its longer side is equal to 12 cm. The area of the parallelogram is 720 cm^2, and its perimeter is 140 cm. Determine the length of the longer diagonal of the parallelogram
11. ### Geometry

Given: ABCD is a parallelogram; <1 is congruent to <2 To Prove: ABCD is a Rhombus Plan: Show <2 is congruent to < CAB. hence CB is congruent to AB, making ABCD a parallelogram with consecutive sides congruent PROOF Statements Reasons 1. ABCD is a parallelogram 1....
12. ### Math

Danny has a yard in the shape of a parallelogram: width- (50 m) length- (60 m) height- (60 m) he want to split it into 3 pieces, with more than one type of shape. they should all have equal perimeter. the perimeter can not be in decimals. (Help please)
13. ### Math

Danny has a yard in the shape of a parallelogram: width- (50 m) length- (60 m) height- (60 m) he want to split it into 3 pieces, with more than one type of shape. they should all have equal perimeter. the perimeter can not be in decimals. (Help please)
14. ### Geometry

I really need some help please!!!!! Am I on the right tract? Given: ABCD is a parallelogram; <1 is congruent to <2 To Prove: ABCD is a Rhombus Plan: Show <2 is congruent to < CAB. hence CB is congruent to AB, making ABCD a parallelogram with consecutive sides ...
15. ### maths-parallelogram

There is a man who plotted a land in shape of a trapezium with its parallel sides to be 15m and 5m & height=9m. The Panchayat decided to take a triangular plot of land from one side to construct a school. He reluctantly agrees to this. is this can be possible? Which are the ...
16. ### Math

A farmer died and left 17 cows to be divided among three workers. The first worker was to receive of the cows, the second worker was to receive of the cows, and the third worker was to receive of the cows. The executor of the farmer’s estate realized that 17 cows could not ...
17. ### math

parallelogram A is similar to Parallelogram B. If the area of parallelogram b is 162 square units, what is the area of parallelogram A?
18. ### math

Let A=(0,0), B=(2,4), C=(17,4) and D=(15,0). Then ABCD is a parallelogram. A line through the point (0,−1) divides the parallelogram into two regions of equal area. The slope of this line can be written as a/b where a and b are positive coprime integers. Find a+b.
19. ### math

Let A=(0,0), B=(2,4), C=(17,4) and D=(15,0). Then ABCD is a parallelogram. A line through the point (0,−1) divides the parallelogram into two regions of equal area. The slope of this line can be written as a/b where a and b are positive coprime integers. Find a+b.
20. ### math

Adam drew two same size rectangles and divided them into the same number of equal parts.He shaded one third of one rectangle and one forth of the other rectangle.What is the least number of parts into which both rectangles could be divided?
21. ### Geometry

Can some one please check these for me.Thanks Angle DEF is similar to Angle HJK and the scale factor of angle DEF to anle HJK IS 5/2. If EF =15 FIND JK Here is what I came up with Am I correct 5/2 = EF/JK 5/2 =15/JK 5(JK)=30 JK=30/5 JK=6 Given: ABCD is a parallelogram; <1 ...
22. ### Geometry

Write a proof. 1. Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. 2. Prove: If the diagonals of a parallelogram are congruent, then parallelogram is a rectangle.
23. ### math geometry

if the diagonals of a parallelogram are equal then the parallelogram is also what type of figure?
24. ### Math

What is the name of a parallelogram that has 2 pairs of equal sides but is NOT a parallelogram?
25. ### Geometry

Can the following quadrilateral be proven to be a parallelogram based on the given​ information? No. It is not a parallelogram because the angles of the quadrilateral do not add up to 360 degrees360°. B. No. It is not a parallelogram because one pair of opposite sides is ...
26. ### math

a square has side length of 6 inches. a parallelogram has a base of 6 inches. the area of the square is equal to the area of the parallelogram what is the height of the parallelogram?
27. ### Math

1) a. Miguel says that you can easily separate numbers divisible by 2 into two equal parts. Do you agree? Why or why not? 1) b. Many says that if Miguel is correct, then you can easily separate numbers divisible by 3 into three equal parts. Do you agree? Why or why not? 1) c. ...
28. ### SOLID

the altitude BE of parallelogram ABCD divides the side AD into segments in the ratio 1:3. Find the area of the parallelogram if the length of its shorter side is 14 cm, and one of its interior angle measures 60 degrees.
29. ### Math - vector equation of a parallelogram

The vertices of a parallelogram are the origin and the points A(-1,4), B(3,6), and C(7,2). Write the vector equations of the lines that make up the sides of the parallelogram
30. ### Math - vector equation of a parallelogram

The vertices of a parallelogram are the origin and the points A(-1,4), B(3,6), and C(7,2). Write the vector equations of the lines that make up the sides of the parallelogram
31. ### Math

A square and a parallelogram have the same area. If a side of the square is 40m and the height of the parallelogram is 20m, find the length of the corresponding base of the parallelogram.
32. ### math

if an angle of parallelogram is two third of its adjacent angle,find the angles of the parallelogram
33. ### geometry

Hello, Can some one check my work. I just want to make sure I answered the questions correctly. Thanks, Nikki 1) Every rhombus is a parallelogram. True 2) Every parallelogram is a rectangle. False 3) Every rectangle is a square. False 4) Every square is a rectangle. True 5) ...
34. ### maths

the measure of one angle of a parallelogram is 25 degree.find the measures of the other angles of the parallelogram
35. ### Geometry

The Varignon parallelogram of the Varignon parallelogram of quadrilateral ABCD is a 3*4 rectangle. Find AC+BD. I don't understand the Varignon parallelogram, so solving this problem is difficult.
36. ### math

A diagonal of a parallelogram forms 25° and 35° angles with the sides of a parallelogram. Find the angles of the parallelogram.
37. ### Math

The lengths of two sides of a parallelogram are 7.4cm and 9.2cm and one of the diagonals has a length of 6.2 cm. Find the area of the parallelogram.
38. ### math

Leah has two same size rectangles divided into the same number of equal parts.One rectangle has 1/3 of the parts shaded,and the other has 2/5 of the parts shaded.What is the least number of parts into which both rectangles could be divided?
39. ### Maths

The adjacent sides of parallelogram are 26cm and 28cm and one of its diagonal is 30cm. Find the area of the parallelogram by using heron's formula
40. ### Math

The adjacent sides of parallelogram are 26cm and 28cm and one of its diagonal is 30cm. Find the area of parallelogram by using heron's formula
41. ### Math

The adjacent sides of parallelogram are 26cm and 28cm and one of its diagonal is 30cm. Find the area of the parallelogram by using heron's formula
42. ### math

the measures of a pair of two adjacent sides of a parallelogram are 15cm and 20 cm.if the length of one of its diagonal is 25cm, find the area of the parallelogram
43. ### Math

the measure of pair of adjacent sides of a parallelogram are 15cm and 20cm.if the length of one diagonals is 25cm find the area of the parallelogram.
44. ### geometry

1. the opposite angles of a parallelogram measure(x=30) and (2x-50).Find the measure of each angle of the parallelogram. 2. the ratio of two consecutive angles of a parallelogram is 2:3. find the measurement of the angles of a parallelogram. 3.the difference between the ...
45. ### Straight Lines

From each corner of a parallelogram a perpendicular is drawn upon the diagonal which does not pass through that corner and these are produced to form another parallelogram, show that its diagonals are perpendicular to the sides of the first parallelogram and that they both ...
46. ### math

Adam drew two same size rectangles and divided them into equal parts. He shaded 1/3 of one rectangle and 1/4 of other rectangle. What is the least number of parts into which both rectangles could be divided?
47. ### Geometry

8)Suppose that a given parallelogram is not a rhombus or a rectangle. Which of the following can you conclude about this parallelogram? A) Its diagonals are perpendicular bisectors of each other. B) It is a square. C) Its angles are not all congruent. D) None of the above I ...
48. ### Math

The area of a parallelogram with a side of 5.6 in is equal to the area of a rectangle with sides 7 in and 8 in. Find the altitude to the given side in the parallelogram.
49. ### Math

The area of a parallelogram with a side of 5.6 in is equal to the area of a rectangle with sides 7 in and 8 in. Find the altitude to the given side in the parallelogram.
50. ### algebra

A parallelogram is 22 inches long and 14 inches wide. How do you find the height of the parallelogram? How do you find the area of the parallelogram ?
51. ### Math

Are the diagonals of a parallelogram perpendicular? Why or why not? Explain. They can be, for example if in a parallelogram the two diagonals are perpendicular then the parallelogram is a rhombus
52. ### Math

Are the diagonals of a parallelogram perpendicular? Why or why not? Explain. They can be, for example if in a parallelogram the two diagonals are perpendicular then the parallelogram is a rhombus
53. ### math

Are the diagonals of a parallelogram perpendicular? Why or why not? Explain. They can be, for example if in a parallelogram the two diagonals are perpendicular then the parallelogram is a rhombus
54. ### geometry

Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right angle Definition of a right angle. 4. ...
55. ### math

The sides of a parallelogram are 15 ft and 17 ft. One angle is 40° while another angle is 140°. Find the lengths of the diagonals of the parallelogram (to the nearest tenth of a foot)
56. ### SBVC

The formula for the area of a parallelogram is A = bh. The area of the parallelogram in the illustration is 300 square centimeters. If its base is three times its height, how long is the base?
57. ### geometry

A parallelogram ABCD has perimeter equal to 124. Let E be the foot of the perpendicular from A to BC, and let F be the foot of the perpendicular from A to CD. If AE=7 and AF=24, what is the area of the parallelogram?
58. ### geometry help!!

A parallelogram ABCD has perimeter equal to 124. Let E be the foot of the perpendicular from A to BC, and let F be the foot of the perpendicular from A to CD. If AE=7 and AF=24, what is the area of the parallelogram?
59. ### calculus

A 384 square meter plot of land is to be enclosed by a fence and divided into equal parts by a fence parallel to one pair of sides. What dimensions of the outer rectangle will minimize the amount of force used?
60. ### Math

A circle is divided into 20 equal parts. Find the angle measure of one of the parts
61. ### geometry

a parallelogram has the vertices (-1,2), (4,4), (2,-1), and (-3,-3). determine what type of parallelogram. find the perimeter and area. i found the parallelogram part and its a rhombus but i cant find the perimeter and area
62. ### Vectors

Consider the parallelogram with verticies (0,0), (3,0), (5,3) and (2,3). Find the angles at which the diagonals of the parallelogram intersect.
63. ### Geometry

a parallelogram has the vertices (0,3), (3,0), (o,-3), and (-3,0). determine what type of parallelogram and find the perimeter and area
64. ### Maths

PQRS is a parallelogram . M is the point on PS. such that PM =1÷3 QR . Prove that the quadrilateral PNRM is a parallelogram.
65. ### math

Please help! The area of a parallelogram is ( x^2 + x - 12) and the length of its base is ( x +4). what is the height of the parallelogram?
66. ### Algebra

Parallelogram ABC is translated up 2 units. What are the coordinates of the new parallelogram? A (3, 1) B (7, 1) C (5, 6) D (1, 6)
67. ### Algebra

Parallelogram ABC is translated up 2 units. What are the coordinates of the new parallelogram? A (3, 1) B (7, 1) C (5, 6) D (1, 6)
68. ### math

Parallelogram PARL is similar to parallelogram WXYZ. If AP = 16, PL = 24, and WZ = 96, find the value of c.
69. ### math

Suppose that a given parallelogram is not a rhombus or a rectangle. Which of the following can you conclude about this parallelogram?
70. ### geometry

7. Verify that parallelogram ABCD with vertices A(–5, –1), B(–9, 6), C(–1, 5), and D(3, –2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals.
71. ### geometry

Verify that parallelogram ABCD with vertices A(–5, –1), B(–9, 6), C(–1, 5), and D(3, –2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals
72. ### math

Two adjacent sides of a parallelogram are four cm and five cm find the perimeter of the parallelogram
73. ### maths

ABCD is a parallelogram. AB=9cm,BC=5cm and DE is perpendicular to AB.If the area of parallelogram is 36sqcm,find AE?
74. ### maths

if the points A(-1,2) , B(2,3) , C(-3,2) and D(-4,-3) are the vertices of parallelogram ABCD, then taking AB as the base , find the height of this parallelogram .
75. ### maths

If the point A(1,-2), B(2,3), C(-3,2), and D(-4,-3) are vertices parallelogram ABCD, then taking AB as the base , find the height of this parallelogram
76. ### maths

If the point A(1,-2), B(2,3), C(-3,2), and D(-4,-3) are vertices parallelogram ABCD, then taking AB as the base , find the height of this parallelogram
77. ### maths

ABCD is a parallelogram and AE perpendicular to DC if AB is 20cm. and the area of parallelogram is 80cm. then find the AE which is 90degree?
78. ### Geometry

justify the last two steps of the proof. Given: ABCD is a parallelogram. Prove: triangleABC = triangleCDA 1. ABDC is a parallelogram 1. given 2. AB = DC and BC =DC 2. opposite sides of a parallelogram are congruent 3. AC = CA 3. ? 4. triangleABC = triangleCDA 4.? last two are ...
79. ### geometry

In parallelogram ABCD, BC = 8, DC = 12, and measure of angle D is 50 degrees. Find the area of the parallelogram to the nearest tenth.
80. ### math

The lengths of two sides of a parallelogram are 3 are 5. which of the following is a possible value for the length of a diagonal of the parallelogram? a.2 b.2 c.8 d.10 e.15
81. ### Math

The measures of two consecutive angles of a parallelogram are in the ratio 5:4. What is the measure of an acute angle of the parallelogram?
82. ### geometry

The measures of two consecutive angles of a parallelogram are in the ratio 5:4. What is the measure of an acute angle of the parallelogram?
83. ### help asap

7. Verify that parallelogram ABCD with vertices A(–5, –1), B(–9, 6), C(–1, 5), and D(3, –2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals. (3 points)
84. ### Math

The lengths of two sides of a parallelogram are 3 and 5. Which of the following is a possible value for the length if a diagonal if a parallelogram?
85. ### Geometry

If the length of the base of a parallelogram is decreased by 30％and the height is increased by 20％ what Is the percent decrease in the area of the parallelogram
86. ### Geometry

If there is a parallelogram which has four sides xy and x+25 ,4x+35 abc is parallelogram find x,y,z
87. ### Math

The sides of parallelogram 2x+y,3y-2x,5y-8,4x-3 are given in cm.find x and y and the perimeter of the parallelogram
88. ### calculus

A parallelogram is determined by the vectors a = [-2, 5] and b = [3, 2]. Determine the diagonals of the parallelogram.
89. ### math

The vertices of quadrilateral ABCD are (A(1,1), B(1,5), C(5,5) and D(7,1). You want to transform ABCD into a parallelogram by only moving point B. A parallelogram is a four-sided figure with both pairs of opposite sides parallel. What should be the new x-coordinate of point B?
90. ### Math

My son is having a math test tomorrow I am unable to tell properly. Thank u so much for u r help ~Be able to identify and draw the following: triangles, rectangles, squares, trapezoids, pentagons, hexagons, and cubes. ~Tell how many sides and angles the shapes have. ~Explain ...
91. ### math

Leah has two same size rectangles divided into the same number of Equal parts. One rectangle has 1/3 of the parts shaded and the other has 2/5 of the parts shaded. What is the least number of parts into which both rectangles can be divide?
92. ### geometry

The measures of two consecutive angles of a parallelogram are in the Ratio 3:7. Find the measure of an acute angle of the parallelogram
93. ### maths

The diagonal of a parallelogram 6cm and 8cm long and they intersect at an angle of 55 degrees. calculate the area of the parallelogram
94. ### Math

suppose that you know that a given parallelogram has at least one right angle and at least two adjacent sides that sre congruent. Can you make a conclusion about what kind of parallelogram this is? I say no because it can be a square or a rectangle.
95. ### physics

A basketball explodes into three separate pieces. Two pieces of equal mass shoot off at 20.3 m/s, one travelling to the south and one to the west, perpendicular to each other. The third piece has a mass 4 times the size of one of the other pieces. What is the speed of the ...
96. ### Geometry

Write a two column proof: Given: ABCD is a parallelogram BQ is conguent to DS, PA is congruent to RC Prove PQRS is a parallelogram
97. ### Geometry

I need the statements and reasons for this: ABCD is a parallelogram and we must prove AB=CD and BC=DA. If a quadrilateral is a parallelogram, then its opposite sides are congruent.
98. ### Math

in the figure given below, area of parallelogram ABCD is 29 square centimeters.calculate the height of parallelogram ABEF if AB=5.8.
99. ### math

Adan drew 2 same size rectangles and divided them into the same number of equal parts. He shaded 1/3 of one rectangle and 1/4 of the other rectangle. What is the least number of parts into which both rectangles could be divided?
100. ### geometry

got a parallelogram ABCD = 100 sq in. AC=2 times BD. what is CD and BD? the diagonals AC divided into AE=2x and EC =2x, diagonal BD is divided into BE=x and ED=x. I got x=1. So line AC=2x or 4x? line BD=x or 2x? so, 100 sq in 0divided by 3x or 6x. Or did I goof?