Cara and Beejal make a poster for school. The poster is in the shape of a rectangle. The left side of the poster measures 7 units; the top side of the poster measures 6 units. What is the area in square units of the completed poster?
13 square units
48 square units
26 square units
42 square units
The area of a rectangle is found by multiplying the length by the width. In this case, the length is 7 units and the width is 6 units. So, the area is:
7 x 6 = 42 square units
Therefore, the correct answer is 42 square units.
The formula for the area of a triangle is:
area = (1/2) x base x height
where base and height are the length of the base and the height of the triangle, respectively.
In this case, we know that the area is 7.5 square feet, the height is 2.5 feet, so we can solve for the base:
7.5 = (1/2) x base x 2.5
Multiplying both sides by 2 and dividing by 2.5, we get:
base = 6 feet
Therefore, the length of the base of Ja'Miles' sign is 6 feet. Answer: \boxed{6 \text{ feet}}
In that case, the closest answer would be 31 square miles as it is the only option greater than 28 (which is the sum of the areas of the two rectangles) but less than 40 (which is the actual total area of the composite figure). However, it is still not the correct answer as none of the given options is exact.
The area of the rectangle is:
9 cm x 3 cm = 27 square cm
The area of each triangle is:
(1/2) x 2 cm x 3 cm = 3 square cm
Therefore, the total area of the piece of jewelry is:
27 square cm + 3 square cm + 3 square cm = 33 square cm
So, the answer is \boxed{33 \text{ square centimeters}}.
Ja’Miles designs a sign for a store in the shape of a triangle. His design is 7.5 square feet in area, and the triangle has a height of 2.5 feet. What is the length of the base of his sign?
3 feet
0.6 feet
6 feet
10 feet
An illustration shows a rectangle extending upward on the top left and top right sides forming two more rectangles of varying width and length. The dimensions are as follows: The bottom of the rectangle is 7 miles. The extended left side is 6 miles. The vertical height of the left side rectangular extension is 3 miles. The vertical and horizontal lengths of the right side rectangular extension is 1 mile each. There are six right angle symbols at the vertices of the polygon.
What is the area of the composite figure?
31 square miles
25 square miles
28 square miles
21 square miles
Use the image to answer the question.
A composite shape is drawn using a rectangle and 2 triangles. A horizontally aligned rectangle is 9 centimeters long and 3 centimeters wide. A right triangle facing upward adjoins the rectangle on the left side marked 3 centimeters. A right triangle facing downward adjoins the rectangle on the right side. The base leg of both triangles measures 2 centimeters.
Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?
39 square centimeters
33 square centimeters
27 square centimeters
30 square centimeters
ethan writes the ratio x8=y16 to help him reduce the size of a two-dimensional shape. If the new value of y is 3 units, what will be the value of x?(1 point)
Responses
1.5 units
316 units
0.5 units
6 units
We can solve for x by cross-multiplying the given ratio:
x8 = y16
Multiplying both sides by 16, we get:
16x = 8y
Substituting y = 3, we get:
16x = 8(3)
16x = 24
Dividing both sides by 16, we get:
x = 24/16 = 3/2 = 1.5
So, the value of x is \boxed{1.5 \text{ units}}.
The formula for the circumference of a circle is:
C = 2πr
where C is the circumference, π is pi, and r is the radius.
Substituting the given value, we get:
C = 2 x 3.14 x 90
C = 565.2
Rounding to the tenths place, we get:
C ≈ \boxed{565.2}