Question

On a scale drawing of a basketball court, 1 inch equals 8 feet. What is the actual area of the basketball court if the scale drawing is 11.75 inches by6.25 inches? Enter your answer in the box.ft2

Answer 1

The actual area of the basketball court is;

`A=4700\text{ }ft^2`

Step-by-step explanation:

Given that the scale of the drawing is;

`1\text{ inch }\rightarrow8ft`

And the dimension of the basketball court on the scale drawing is;

`11.75\text{ inches by 6.25 inches}`

The actual dimension will be;

`\begin{gathered} 11.75\text{ }*8ft\text{ by 6.25 }*8ft \\ 94\text{ ft by 50 ft} \end{gathered}`

Therefore, the actual area of the basketball court will be;

`\begin{gathered} A=l* w \\ A=94*50\text{ }ft^2 \\ A=4700\text{ }ft^2 \end{gathered}`

The actual area of the basketball court is;

`A=4700\text{ }ft^2`