Use the formula for the area of a trapezoid A=h(b1+b2/2)
, 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:
Height (h) = 75 ft
Length of Base 1 (b1) = 125 ft
Length of Base 2 (b2) = 81 ft
Substituting these values into the formula, we get:
A = 75(125 + 81)/2
A = 75(206)/2
A = 15,450/2
A = 7,725 ft^2
Therefore, there are 7,725 square feet of grass on the trapezoidal field.
To find the area of the trapezoid, we can use the formula A = h(b1 + b2)/2, where A is the area, h is the height, b1 and b2 are the lengths of the bases.
Plugging in the given values, we have:
A = 75(125 + 81)/2
Calculating further:
A = 75(206)/2
A = 15525/2
A = 7762.5
Therefore, there are 7,762.5 square feet of grass on the trapezoidal field.