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Dale wants to paint the ceiling of his restaurant. The ceiling is in the shape of a square with side lengths of 39 feet. Suppose each can of paint will cover 169 square feet. How many cans will he need to paint the ceiling?

a. 4
b. 5
c. 6
d. 7

1 Answer

6 votes

Final answer:

Dale's restaurant ceiling area is 1521 square feet. Each can covers 169 square feet, so he will need approximately 9 cans of paint, which is not an option provided in the multiple-choice answers.

Step-by-step explanation:

Dale needs to calculate how many cans of paint are required to cover the ceiling of his restaurant. The ceiling is a square with side lengths of 39 feet. To find the area of the ceiling, we square the length of one side:

Area = Side × Side = 39 feet × 39 feet = 1521 square feet.

Since each can of paint covers 169 square feet, we divide the total area by the coverage of one can to determine the number of cans needed:

Number of cans = Total area ÷ Coverage per can = 1521 sq ft ÷ 169 sq ft/can ≈ 9 cans.

Since Dale cannot purchase a fraction of a can, he will need to buy 9 full cans of paint. The correct answer is not provided in options a, b, c, or d, as all of them are less than 9 cans.

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