A field in the shape of a trapezoid has an area of 13.687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid

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Complete Question

A field in the shape of a trapezoid has an area of 13,687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid

The height of the trapezoid is 75 yards

Step-by-step explanation:

Area of a Trapezoid = 1/2(b1 + b2) × h

Where b1 = Length of the first base

b2 = Length of the second base

h = height of the trapezoid

From the question

Area of the trapezoid = 13,687.5 yd²

b1 = Length of the first base = 150 yards

b2 = Length of the second base = 215 yards

h = height of the trapezoid

Hence, we have

13,687.5 = 1/2(150 + 215)h

13,687.5 = 365h/2

13,687.5 × 2 = 365h

h = 13687.5 × 2/365

h = 75 yards

Therefore, the height of the trapezoid is 75 yards.