Question

Mrs. washington has a small fenced-in, rectangular play area behind her house for her dog. there is 80 feet of fencing around the perimeter of the play area, and the width is 14.8 feet. mrs. washington needs to buy new sod to cover the entire area of play space. if sod costs $1.50 per square foot, how much will it cost mrs. washington to buy enough sod for the entire play area?

Answer 1

$1118.88

Explanation:

Lets start by finding all sides of the perimeter to get an accurate measure of the area.

We know the width is 14.8 feet, that means the opposite side also equals 14.8 feet.

Now the other two sides must sum to 50.4 (80-(14.8*2)) and be equal, so we can divide 50.4 by two to get 25.2 for the other two sides.

Now we can calculate area by multiplying one from each side:

`14.8*50.4=745.92`

Now to find the price of required sod, multiply the area by cost per square foot

`745.92*1.50=1118.88`

Therefore it will cost 1118.88 dollars to cover the entire area in sod.