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?

Respuesta :

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. 

Answer:

Answer is approx 12%

Step-by-step explanation:

Total land owned by Andre = [tex]\frac{1}{4}=0.25[/tex] acres

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

Means the area of the court will be = [tex]120\times80=9600[/tex] 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 = [tex]0.25-0.22=0.03[/tex] Acres

Hence, the approximate percentage left over will be = [tex]\frac{0.03}{0.25}\times100= 12[/tex]%