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 trapezoidal field, we will use the formula for the area of a trapezoid:
A = h(b1 + b2)/2
Given:
h = 75 ft (height)
b1 = 125 ft (length of the first base)
b2 = 81 ft (length of the second base)
Substituting these values into the formula, we get:
A = 75 ft * (125 ft + 81 ft)/2
Simplifying:
A = 75 ft * 206 ft/2
A = 15,450 ft²/2
A = 7,725 ft²
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 = h(b1 + b2)/2.
Given:
h = 75 ft
b1 = 125 ft
b2 = 81 ft
Substituting the values into the formula, we get:
A = (75 ft) (125 ft + 81 ft) / 2
Simplifying,
A = (75 ft) (206 ft) / 2
A = 15,450 sq ft
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 A = (b1 + b2) * h / 2, where A represents the area, b1 and b2 are the lengths of the bases, and h is the height.
First, let's substitute the values we know into the formula. 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.
Using the formula, we have A = (125 + 81) * 75 / 2.
Now, we can simplify this expression. Add the lengths of the bases: 125 + 81 = 206.
Next, multiply the sum by the height: 206 * 75 = 15,450.
Finally, divide the result by 2 to get the area: 15,450 / 2 = 7,725 square feet.
Therefore, there are 7,725 square feet of grass on the trapezoidal field.