Question

Andre owned a 1/4 acre lot. he wanted to construct a 120’ x 80’ tennis court on the lot. what approximate percentage of the lot will be left over, if any, when he has completed the construction?

Answer 1

Answer is approx 12%

Explanation:

Total land owned by Andre =
`(1)/(4)=0.25` acres

He wants to construct a 120 feet x 80 feet tennis court on the lot.

Means the area of the court will be =
`120*80=9600` square feet.

9600 square feet = 0.22 acres (divide the area value by 43560 as 1 acre has 43560 sq feet)

Area left in acres =
`0.25-0.22=0.03` Acres

Hence, the approximate percentage left over will be =
`(0.03)/(0.25)*100= 12`%

Answer 2

The area of the tennis court is computed by multiplying the dimensions given,
A = 120' x 80'
A = 9600 ift

Then, we convert the area in ft² to acres,
A = (9600 in²)(2.3 x 10^-5/ 1 in²)
A = 0.24 acre

The portion of land remaining is,
A of remaining = 0.25 acre - 0.24 acre
= 0.1 acre

The remaining portion is for Andre's studies.

This, 0.1 ft² is equal to the 4% of the given area of the court.