Question

A 6 ft. × 6 ft. square pool is surrounded by a 3 ft. wide gravel path. Notice the corners are rounded on the outer edge of the path. To the nearest square foot, what is the approximate area of the gravel path?

Answer 1

72 sq ft

Explanation:

The area of the square pool is 6ft * 6ft = 36 sq.ft.

The perimeter of the pool is 2 * (6ft + 6ft) = 24ft.

The length of the gravel path is equal to the perimeter of the pool, so 24ft.

The width of the gravel path is 3ft, so the total area of the gravel path is 24ft * 3ft = 72 sq.ft.

Since the corners of the path are rounded, we can assume that the loss of area is negligible and assume that the area of the gravel path is 72 sq.ft.

So, the approximate area of the gravel path is 72 sq.ft.