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a vegetable garden surrounding path are shaped like a square that together are 10 ft wide. The path is 3 ft wide. Find the total area of the vegetable garden and path. ​

a vegetable garden surrounding path are shaped like a square that together are 10 ft-example-1
User Olli K
by
5.4k points

1 Answer

4 votes

Answer: Garden = 36 ft², Path = 64 ft²

Explanation:

Path is 3 ft wide ON EACH SIDE of the garden

Garden + 2(Path) = 10 ft --> Garden = 6 ft wide.

Since the garden is a square, Area = 6² = 36

Garden + 2(Path) = 10 ft

Since the Garden + Path form a square, Area = 10² = 100

Area of Garden + Area of Path = Total Area

36 + Area of Path = 100

Area of Path = 64

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