Question

The area of trapezoid is 120 sq inches. It two parallel sides are 6 inches and 14 inches respectively. What is the height? (with explanation)

Answer 1

height = 12 cm

Explanation:

The area (A) of a trapezoid is calculated as

A =
`(1)/(2)` h(a + b)

where h is the height and a, b the parallel bases.

Here A = 120, a = 6 and b = 14 , thus

`(1)/(2)` h (6 + 14) = 120

`(1)/(2)` h × 20 = 120

10h = 120 ( divide both sides by 10 )

h = 12 cm