2
AssignmentMultiple Choice

Area and Perimeter

Question 2 • CCS District-ACT WorkKeys Remediation

You are a glass cutter, and a customer needs glass tops cut for two tables. One tabletop is a rectangle that is 36 inches long by 48 inches wide. The other tabletop is circular and has a diameter of 72 inches. You have a sheet of glass that covers an area of 32 square feet. Do you have enough glass to make both tabletops?

Answer
A
Yes, because you only need 18.84 square feet of glass to make both tabletops.
B
Yes, because you only need 21.42 square feet of glass to make both tabletops.
C
No, because you need 40.26 square feet of glass to make both tabletops.
D
No, because you need 1,841.04 square feet of glass to make both tabletops.
E
No, because you need 1,954.08 square feet of glass to make both tabletops.

Explanation

Convert the tabletop dimensions to feet: the rectangle is 3 feet by 4 feet, so its area is 12 square feet. The circular tabletop has a 6-foot diameter, so its radius is 3 feet and its area is π × 3² ≈ 28.27 square feet. Together, the tabletops need about 12 + 28.27 = 40.27 square feet, more than the 32 square feet available. Choice C, about 40.26 square feet, is the matching answer.

AI-written and checked against the verified answer.

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