Question

A woman purchases 288 square bricks, and each square brick is 1 foot by 1 foot. The length of the rectangle is 20 ft. What is the greatest possible patio she can make with the bricks?

a) 20 ft x 14.4 ft
b) 12 ft x 24 ft
c) 18 ft x 16 ft
d) 15 ft x 19.2 ft

Answer 1

To determine the greatest possible patio made from 288 square bricks, where each brick is 1 foot by 1 foot, we must find the patio option with dimensions that result in an area of 288 square feet and has a length of 20 ft. The correct answer is option (a), which is a patio measuring 20 ft x 14.4 ft.

Step-by-step explanation:

The question is aimed at finding the greatest possible rectangular patio that a woman can make with her 288 square bricks, given that each brick measures 1 foot by 1 foot. To find the greatest possible patio, we need to consider the options given and select the one where the product of length and width equals the number of bricks she has.

• For option (a) 20 ft x 14.4 ft = 288 square feet
• For option (b) 12 ft x 24 ft = 288 square feet
• For option (c) 18 ft x 16 ft = 288 square feet
• For option (d) 15 ft x 19.2 ft = 288 square feet

Since all options give us an area of 288 square feet, they could all be potential patios. However, the question states that the length of the rectangle is 20 ft. Thus, the answer aligning with this requirement is option (a) with dimensions of 20 ft x 14.4 ft, making it the greatest possible patio.