A vegetable and a surrounding path are shaped like a square that together are 11 ft wide. The path is 2 feet wide. If one bag of
gravel covers 9 square feet, how many bags are needed to cover the path?
1 answer:
Answer:
8 bags
Step-by-step explanation:
The area of the path is equal to the area of the overall square minus the area of the garden.
Area of a square is the side length squared:
A = s²
The overall square has a side length of 11 feet. The side length of the garden is 11 - 2 - 2 = 7 feet. So the area of the path is:
A = 11² - 7²
A = 121 - 49
A = 72
The area of the path is 72 ft². If one bag of gravel covers 9 ft², then the number of bags needed is:
72 ft² × (1 bag / 9 ft²) = 8 bags
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