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

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Answer:

The actual area of the basketball court is;

[tex]A=4700\text{ }ft^2[/tex]

Explanation:

Given that the scale of the drawing is;

[tex]1\text{ inch }\rightarrow8ft[/tex]

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

[tex]11.75\text{ inches by 6.25 inches}[/tex]

The actual dimension will be;

[tex]\begin{gathered} 11.75\text{ }\times8ft\text{ by 6.25 }\times8ft \\ 94\text{ ft by 50 ft} \end{gathered}[/tex]

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

[tex]\begin{gathered} A=l\times w \\ A=94\times50\text{ }ft^2 \\ A=4700\text{ }ft^2 \end{gathered}[/tex]

The actual area of the basketball court is;

[tex]A=4700\text{ }ft^2[/tex]