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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?

User Carlie
by
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1 Answer

2 votes

Answer:

There are 7,725 square feet of grass on the trapezoidal field

Explanation:

Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.

What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.

To calculate this area, what we need to do

simply is to use the formula for the area of a trapezoid.

Mathematically, the area of a trapezoid can be calculated using the formula;

Area of trapezoid = 1/2 * (a + b) * h

where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.

From the question;

a, b = 81ft and 125 ft

h = 75 ft

Substituting these values, we have :

Area = 1/2 * (81 + 125) * 75

Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2

User Henrique Arthur
by
5.1k points