Question

yolanda wants to paint the ceiling of her restaurant. the ceiling is in the shape of a square. its side lengths are 48 feet. suppose each can of paint will cover 192 square feet. how many cans will she need to paint the ceiling?

Explanation:

Step1: Calculate the area of the square ceiling

The area formula for a square is \(A = s^{2}\), where \(s\) is the side - length. Given \(s = 48\) feet, then \(A=48^{2}=48\times48 = 2304\) square feet.

Step2: Calculate the number of cans

Let \(n\) be the number of cans. We know that each can covers \(192\) square feet. Using the formula \(n=\frac{A}{192}\), substitute \(A = 2304\) into it. So \(n=\frac{2304}{192}=12\).

Answer:

\(12\)