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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?
To find the area of the trapezoidal field, we can use the formula A = h(b1 + b2)/2.
Given:
h = 75 ft
b1 = 125 ft
b2 = 81 ft
We can substitute these values into the formula:
A = 75 * (125 + 81)/2
A = 75 * 206/2
A = 9,750 square feet
Therefore, there are 9,750 square feet of grass on the trapezoidal field.
To calculate the area of a trapezoid, we can use the formula:
A = h * (b1 + b2) / 2
Given:
b1 = 125 ft
b2 = 81 ft
h = 75 ft
Substituting the values into the formula:
A = 75 * (125 + 81) / 2
A = 75 * 206 / 2
A = 15450 / 2
A = 7725 square feet
Therefore, there are 7725 square feet of grass on the trapezoidal field.