Question

A trapezoid has a height of 16 centimeters, and one of the bases measures 15 centimeters. What is the measurement of the other base if the area of the trapezoid is 208 cm2?

Answer 1

The measurement of the other base is 11 cm.

Explanation:

Area of Trapezoid = 1/2
`*`(base1 + base2)
`*` height

Given,

• height = 16 cm
• base1 = 15 cm
• Let the measure of base2 be 'x'
• Area = 208 cm²

Area of Trapezoid = 1/2
`*`(15 + x)
`*` 16

208 = 8(15 + x)

208 = 120 + 8x

88 = 8x

x = 88/8

x = 11 cm

∴ The measurement of the other base is 11 cm.