Question

Patrick, a landscaper, creates a wood chip-covered path around a rectangular garden. The garden is 7.8 feet long and 5.6 feet wide. If the path is of uniform width of 2.7 feet, determine the area of the path.

Options:
A. 15.05 square feet

B. 21.12 square feet

C. 23.64 square feet

D. 31.68 square feet

Answer 1

To find the area of the path, calculate the area of the outer rectangle and subtract the area of the inner rectangle.

Step-by-step explanation:

To find the area of the path, we need to calculate the area of the outer rectangle and then subtract the area of the inner rectangle.

The outer rectangle has length (7.8 + 2 * 2.7) = 13.2 feet and width (5.6 + 2 * 2.7) = 11 feet.

The area of the outer rectangle is 13.2 * 11 = 145.2 square feet.

The inner rectangle has length 7.8 feet and width 5.6 feet.

The area of the inner rectangle is 7.8 * 5.6 = 43.68 square feet.

So, the area of the path is 145.2 - 43.68 = 101.52 square feet.

Therefore, the correct option is D. 31.68 square feet.