Avegetable 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.

Step-by-step

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 bags

6 bags need to be purchased.

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