Question
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the formula for the area of A=h(b1+b22)
, where A is area, b1 and b2
are the lengths 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).
Given:
h = 75 ft
b1 = 125 ft
b2 = 81 ft
Substituting the given values into the formula, we get:
A = 75 ft * (125 ft + 81 ft)
Now, simplify the equation:
A = 75 ft * 206 ft
Multiply the numbers:
A = 15,450 ft^2
Therefore, there are 15,450 square feet of grass on the trapezoidal field.
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 a trapezoidal field, you 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.
Given:
h = 75 ft
b1 = 125 ft
b2 = 81 ft
Substituting the given values into the formula, we get:
A = 75 ft * (125 ft + 81 ft)/2
Now, simplify the equation:
A = 75 ft * 206 ft/2
Multiply the numbers:
A = 15,450 ft^2
Therefore, there are 15,450 square feet of grass on the trapezoidal field.
To find the area of the trapezoidal field, we can use the formula for the area of a trapezoid:
A = h(b1 + b2) / 2
Where:
A = area
h = height
b1 = length of the first base
b2 = length of the second base
Given:
h = 75 ft
b1 = 125 ft
b2 = 81 ft
Substituting the given values into the formula, we have:
A = 75(125 + 81) / 2
Calculating the expression inside the parentheses:
A = 75(206) / 2
Multiplying 75 by 206:
A = 15450 / 2
Dividing 15450 by 2:
A = 7725
Therefore, there are 7725 square feet of grass on the trapezoidal field.