Question

Vaughn is laying sod in his backyard. A diagram of his backyard is below.

If a = 24 ft, b = 31 ft, and c = 37 ft, what is the area of the backyard?
A. 27,528 ft?
B. 1,147 ft?
C. 945.5 ft?
D. 92 ft?

Answer 1

Answer: C. 945.5 ft²

Explanation:

Vaughn's backyard is a right trapezoid. This means we can use the formula to calculate the area of a trapezoid. We will substitute the given measurements and simplify to find the area.

`\displaystyle A=(1)/(2) (a + c) *b`

`\displaystyle A=(1)/(2) (24\;ft + 37\;ft) *31\;ft`

`\displaystyle A=(1)/(2) (61 \;ft) *31\;ft`

`\displaystyle A=30.5 \;ft*31\;ft`

`\displaystyle A=945.5 \;ft^2`