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Height of the trapezoid is 14.4 meter.
Solution:
Given data:
One base [tex](b_1)[/tex] = 12 meter
Other base [tex](b_2)[/tex] = 8 meter
Area = 144 square meter
Area of the trapezoid = [tex]\frac{1}{2} \times(b_1+ b_2)\times h[/tex]
[tex]$144=\frac{1}{2} \times(12+8)\times h[/tex]
[tex]$144=\frac{1}{2} \times 20 \times h[/tex]
[tex]$144= 10 \times h[/tex]
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.