What is the area of a trapezoidal piece of land if the shorter parallel side is 52 ft long, the other parallel side is 130 ft and the altitude of the trapezoid is 75 ft ?

To find the area of a trapezoid, you can use the formula:

Area = ((a + b) / 2) * h

Where:
a = length of one parallel side (base)
b = length of the other parallel side (top)
h = altitude (height or the distance between the bases)

In this case, the shorter parallel side (base) is 52 ft, the other parallel side (top) is 130 ft, and the altitude (height) is 75 ft.

Plugging in these values into the formula:

Area = ((52 + 130) / 2) * 75

Adding 52 and 130 gives us 182. Then, divide by 2 to get 91.

Area = 91 * 75

Multiplying 91 by 75 gives us 6825.

Therefore, the area of the trapezoidal piece of land is 6825 square feet.