Question

The area of a tennis court is 2808 square feet, or 8 square feet more than 3.5 times the size of the area of a racquetball court. what is the area of a racquetball court

Answer 1

The area of a tennis court is 2808 square feet

Area of Tennis Court = 2808 square feet

The area of a tennis court is 8 square feet more than 3.5 times the size of the area of a racquetball court.

Area of Tennis court = 8 + 3.5(Area of racquetball court )

2808 = 8 + 3.5(Area of racquetball court )

Let the area of Racquetball court is x square feet

So, equation will be :

`\begin{gathered} 2808=8+3.5x \\ 8+3.5x=2808 \\ \text{Subtract 8 from both side:} \\ 8+3.5x-8=2808-8 \\ 3.5x\text{ = }2800 \\ \text{ Divide both side by 3.5} \\ (3.5x)/(3.5)=(2800)/(3.5) \\ x=800 \end{gathered}`

x = 800

Since, the area of Racquetball court is x square feet

The area of Racquetball court is 800 square feet

Answer : The area of Racquetball court is 800 square feet