Aplot of land has an area of 33.75 square feet. jackson wants to put a 4-foot by 4-foot shed on the land. he can only do this if the height of the trapezoid is at least 4.5 feet. what is the height of the trapezoid?

The area of a trapezoid is
A = (1/2) h (b1 + b2)
where
h is the height
b1 is length of base 1
b2 is the length of base 2

We are given with the area and assuming that the trapezoid is isosceles, the length of base 1 is
b1 = 4 ft
If the height of the trapezoid is 4.5 feet, it ensures that the shed will fit inside the trapezoid patch of land. Therefore, the height of the trapezoid is 4.5 feet.

Based on the information the Height of the trapezoid is 4.5ft.

Height of the trapezoid

33.75=Height×(5+10)/2

Height=33.75×2/5+10

Height=67.5/15

Height=4.5ft

Inconclusion the Height of the trapezoid is 4.5ft.

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