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 trapezoid, we can use the formula A = h(b1+b2)/2.
Given:
h = 75 ft
b1 = 125 ft
b2 = 81 ft
First, calculate the sum of the bases, (b1 + b2):
125 ft + 81 ft = 206 ft
Next, multiply the sum of the bases by the height, and divide by 2:
A = (206 ft * 75 ft)/2
A = 15,450 sq ft
Therefore, there are 15,450 square feet of grass on the trapezoidal field.
Write an algebraic expression for the following word phrase: the quotient of r and 12.
(1 point)
r • 12
r + 12
r ÷ 12
r – 12
r * 12
To find the area of a trapezoid, you can use the formula: A = 1/2(h)(b1 + b2), where A is the area, h is the height, b1 and b2 are the lengths of the bases.
Given:
Height (h) = 75 ft
Base 1 (b1) = 125 ft
Base 2 (b2) = 81 ft
Applying the formula, we can calculate the area:
A = 1/2(75)(125 + 81)
First, add the values in the parentheses:
A = 1/2(75)(206)
Next, simplify the expression inside the parentheses:
A = 1/2(15450)
Finally, multiply the remaining values:
A = 7725
Therefore, there are 7725 square feet of grass on the trapezoidal field.
To find the area of a trapezoid, you can use the formula: A = h(b1 + b2) / 2, where A represents the area, b1 and b2 are the lengths of the bases, and h is the height.
In this case, you have a trapezoidal field with a height (h) of 75 ft and bases (b1 and b2) of 125 ft and 81 ft.
Therefore, to calculate the area, substitute the given values into the formula:
A = (75 * (125 + 81)) / 2
Now, perform the calculations:
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.