# Math

posted by ok

A parallelogram and a triangle both have a base of 8 inches. the height of the parallelogram is 4 inches. what is the height of the triangle if both shapes have the same area?

1. Reiny

area of parallelogram = base x height
area of triangle = (1/2)base x height

area of parallelogram = 8(4) in^2 = 32 in^2

32 = (1/2)(8)(height)
height = 8 inches

## Similar Questions

1. ### geometry

A triangle's base is 14 inches less than 2 times its height. If h represents the height in inches, and the total area of the triangle is 54 square inches, which of the following equations can be used to determine the height?
2. ### math

suppose a parallelogram has an area of 84 square units. Describe a triangle related to this parallelogram, and find the triangle's area, base, and height.
3. ### Math

A rectangular solid has a base area of 43.3 sq inches and a height of 50 inches a triangular prism has a base in the shape of an equilateral triangle and a height of 50 inches. the volumes for both shapes are equal. find the side of …
4. ### Algebra

A triangle has an area of 60 in^2. Its base is 10 inches and its height is √x inches. What is the value of x?
5. ### Math

Explain how the area of a parallelogram is related to the area of a triangle when both figures have the same base and height
6. ### algebra

The base of a triangle is 3 inches less than twice its height If the area of the triangle is 126 square inches what equation can be used to find h the height of the triangle in inches
7. ### 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?
8. ### math

a parallelogram and a triangle both have a base of eight inches the height of a parallelogram is four inches what is the height of the triangle if both of the shapes have the same area?
9. ### math

which shapes will have an area of 24m2? choose all that apply. a. a triangle with the base of 6m and a height of 4m b. a parallelogram with a base of 48m and a height of .5m c. a trapezoid with the bases of 9m and 3m and a height of
10. ### Math

1. A parking lot space is in shape of a rectangle. If the space has a length of 23 feet and a width of 12 feet, what is the area of the parking space?

More Similar Questions