Question

Where A is area, b₁ and b₂ are the length of

Use the formula for the area of a trapezoid A = h (¹₁7¹), wi
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

The area of the trapezoidal field is 7,725 square feet

Explanation:

A trapezoid is a quadrilateral with one pair of parallel sides, which are called the bases. The area of a trapezoid can be calculated using the formula A = h(1/2)(b₁ + b₂), where A is the area of the trapezoid, h is the height of the trapezoid, and b₁ and b₂ are the lengths of the two bases.

In this case, we are given that the height of the trapezoid is 75 ft, and the lengths of the two bases are 125 ft and 81 ft. To find the area of the trapezoid, we simply need to plug these values into the formula and simplify:

A = h(1/2)(b₁ + b₂)

A = 75(1/2)(125 + 81)

A = 75(103)

A = 7,725 square feet

Therefore, the area of the trapezoidal field is 7,725 square feet, and this represents the amount of grass that would cover the entire field if it were a perfect rectangle.