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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?
Given:
Height (h) = 75 ft
Base 1 (b1) = 125 ft
Base 2 (b2) = 81 ft
Using the formula for the area of a trapezoid (A = h(b1 + b2)/2), we can calculate the area:
A = (75 ft)(125 ft + 81 ft)/2
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.