Question

the backyard of a new home is shaped like a trapezoid with a height of 44 ft and bases of 73 ft and 105 ft. what is the cost of putting sod on the yard, if the landscaper charges $0.25 per square foot for sod? the sod will cost $ .

Explanation:

Step1: Calculate trapezoid area

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1 = 73$ ft, $b_2=105$ ft and $h = 44$ ft.
$A=\frac{(73 + 105)\times44}{2}$
$=\frac{178\times44}{2}$
$=178\times22$
$ = 3916$ square - feet

Step2: Calculate the cost

The landscaper charges $0.25$ per square - foot. So the cost $C$ is the area times the cost per square - foot.
$C=3916\times0.25$
$C = 979$

Answer:

979