Use the formula for the area of a trapezoid A=h(b1+b22), where A is area, b1 and b2 are the length of the bases, and h is the height, to answer the question. How many square feet of grass are there on a trapezoidal field with a height of 75 ft and bases of 125 ft and 81 ft?

Answer 1

To find the area of the trapezoidal field, we will use the formula for the area of a trapezoid:

A = h(b1 + b2)/2

Given:
h = 75 ft (height)
b1 = 125 ft (length of the first base)
b2 = 81 ft (length of the second base)

Substituting these values into the formula, we get:

A = 75 ft * (125 ft + 81 ft)/2

Simplifying:

A = 75 ft * 206 ft/2

A = 15,450 ft²/2

A = 7,725 ft²

Therefore, there are 7,725 square feet of grass on the trapezoidal field.