Use the formula for the area of a trapezoid upper A equals h left-parenthesis Start Fraction b subscript 1 baseline plus b subscript 2 baseline over 2 End Fraction right-parenthesis, 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 out how many square feet of grass are on the trapezoidal field, we can use the formula for the area of a trapezoid:
A = (b1 + b2) / 2 * h
Given that the height (h) is 75 ft, the length of the first base (b1) is 125 ft, and the length of the second base (b2) is 81 ft, we can substitute these values into the formula:
A = (125 + 81) / 2 * 75
Simplifying the equation:
A = 206 / 2 * 75
A = 103 * 75
A = 7725 ft^2
Therefore, there are 7,725 square feet of grass on the trapezoidal field.
To find the area of a trapezoid, we can use the formula:
A = h * (b1 + b2) / 2
where A is the area, b1 and b2 are the lengths of the bases, and h is the height.
In this case, the height (h) of the trapezoidal field is 75 ft, and the lengths of the bases (b1 and b2) are 125 ft and 81 ft, respectively.
Substituting the values into the formula, we get:
A = 75 * (125 + 81) / 2
Calculating this expression, we have:
A = 75 * 206 / 2
A = 15,450 / 2
A = 7,725 square feet
Therefore, there are 7,725 square feet of grass on the trapezoidal field.
To find the area of the trapezoidal field, we can use the formula A = (b1 + b2)/2 * h, where A is the area, b1 and b2 are the lengths of the bases, and h is the height.
In this case, the height is given as 75 ft, and the bases are 125 ft and 81 ft.
To find the area, we can substitute the values into the formula:
A = (125 + 81)/2 * 75
First, we add the lengths of the bases: 125 + 81 = 206.
Next, we divide the sum by 2: 206/2 = 103.
Finally, we multiply the result by the height: 103 * 75 = 7725.
So, there are 7725 square feet of grass on the trapezoidal field.