A vegetable garden and a surrounding path are shaped like a square together are 12 ft wide. The path is 1 feet wide. If one bag of gravel covers 8 square feet, how manu bags are needed to cover the path? Round your answers to the nearest tenth.
Accepted Solution
A:
Step-by-step answer:There are two squares, the inner one of which is a garden, surrounded by a path 1 foot wide.The outer square represents the periphery of the path, as shown in the attached image.One bag of gravel covers 8 square-feet. Need the number of bags required to cover the path.Solution:We first need to find the total area of the path by subtracting the area of garden from the overall area, namely the outer square.Area of path = 12^2 - 10^2 = 144-100 = 44 sq. ft.Number of bags required= area (sq.ft) / area each bag covers= 44 sq.ft / 8 (sq.ft / bag)= 5.5 bagsAnswer: 6 bags need to be purchased.