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?
(1 point)
Responses
725 ft^2
1025 ft^2
7725 ft^2
15,450 ft^2
To find the area of the trapezoid, we can use the formula:
A = (b1 + b2) * h / 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 is 75 ft, base 1 (b1) is 125 ft, and base 2 (b2) is 81 ft. Plugging these values into the formula, we have:
A = (125 + 81) * 75 / 2
A = 206 * 75 / 2
A = 15450 / 2
A = 7725 ft^2
Therefore, the area of the trapezoidal field is 7725 square feet. So the correct answer is:
7725 ft^2
To find the area of the trapezoidal field, we can use the formula A = (b1 + b2) * h / 2.
Given:
Height (h) = 75 ft
Base 1 (b1) = 125 ft
Base 2 (b2) = 81 ft
Substituting the values into the formula, we have:
A = (125 + 81) * 75 / 2
A = 206 * 75 / 2
A = 15450 / 2
A = 7725 ft^2
Therefore, there are 7725 square feet of grass on the trapezoidal field.
To find the area of a trapezoid using 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, we can substitute the given values into the formula.
Given:
Height (h) = 75 ft
Length of first base (b1) = 125 ft
Length of second base (b2) = 81 ft
Now, let's substitute these values into the formula and solve for A:
A = (125 + 81) / 2 * 75
A = 206 / 2 * 75
A = 103 * 75
A = 7,725 ft^2
Therefore, the trapezoidal field has an area of 7,725 square feet. So, the correct answer is 7,725 ft^2.