Question

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Answer 1

Height of the trapezoid is 14.4 meter.

Solution:

Given data:

One base
`(b_1)` = 12 meter

Other base
`(b_2)` = 8 meter

Area = 144 square meter

Area of the trapezoid =
`(1)/(2) *(b_1+ b_2)* h`

`$144=(1)/(2) *(12+8)* h`

`$144=(1)/(2) * 20 * h`

`$144= 10 * h`

Divide by 10 on both sides, we get

14.4 = h

Switch the sides of the equation.

h = 14.4

Height of the trapezoid is 14.4 meter.