Question

Mjhs is refinishing a basketball court and decided to paint everything shown below blue. How many square feet will be painted blue?

Answer 1

Answer:

Mjhs needs 189.25 square feet of blue paint, approximately.

Step-by-step explanation:

As you can observe in the image attached, the basketball court is a composite figure formed by a rectangle and half of a circle.

The rectangle has dimensions of 10 feet by 15 feet. The circle has a diameter of 10 feet.

The expression of this composite area would be

$A= w \times l + \frac{\pi (\frac{l}{2} )^{2} }{2}$

Where $w = 15 \ ft$ and $l = 10 \ ft$. Replacing these values, we have

$A= 15 \times 10 + \frac{3.14 (\frac{10}{2} )^{2} }{2}\\ A=150 + \frac{3.14 \times 25}{2}=150+39.25 \\ A \approx 189.25 \ ft^{2}$

Therefore, Mjhs needs 189.25 square feet of blue paint, approximately.