A 13 m by 17 m rectangular garden is to have a gravel path of uniform width bordering it. How wide is the path if the total area covered by the garden and path is 621 m2?
A) 5 m
B) 6.5 m
C) 4 m
D) 6 m

Question

Quizplus · Accepted Answer

The total area covered by the garden and path is 621 m2. The area of the garden is 13 m * 17 m = 221 m2. Therefore, the area of the path is 621 m2 - 221 m2 = 400 m2. The path is a rectangle with a length of 13 m + 17 m = 30 m and a width of w. Therefore, the area of the path is 30 m * w = 400 m2. Solving for w, we get w = 400 m2 / 30 m = 13.33 m. Therefore, the width of the path is 13.33 m.

A 13 M by 17 M Rectangular Garden Is to Have