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.