Question

Vaughn is laying sod in his backyard. A diagram of his backyard is bel ow

If a = 23 ft, b = 32 ft, and c = 36 ft, what is the area of the backyard?

Answer 1

Answer: $A=944\ ft^2$

Step-by-step explanation:

You need to use the following formula that is used to find the area of a trapezoid:

$A=(\frac{M+m}{2})h$

Where "M"and "m" are the bases of the trapezoid and "h" is the height of the trapezoid.

Based on the information given in the exercise, you can identify that:

$M=c=36\ ft\\\\m=a=23\ ft\\\\h=b=32\ ft$

Knowing these values, you can substitute them into the formula:

$A=(\frac{36\ ft+23\ ft}{2})(32\ ft)$

Finally, you must evaluate in order to find its area. This is:

$A=(\frac{59\ ft}{2})(32\ ft)\\\\A=\frac{1888\ ft^2}{2}\\\\A=944\ ft^2$