Question

The area of a trapezoid is given by A=1/2(B+b) where A is the height B is the big base and b is the small base. We are going to plant a trapezoid shaped flower garden. What would the height of the garden be if the area was 27 ft squared and the big base was 10 and the small base was 8? Include units

Answer 1

The height of the garden will be 3 ft.

Explanation:

Given;

area of trapezoid, A = 1/2(B+b)h

Where;

A is the area

h is the height

B is the big base

b is the small base

If; A = 27 ft²

B = 10 ft

b = 8 ft

h = ?

`A= (1)/(2) (B+b)h\\\\27= (1)/(2) (10+8)h\\\\27*2 = 18h\\\\54 = 18h\\\\h = (54)/(18)\\\\ h = 3 \ ft`

Therefore, the height of the garden will be 3 ft.