A path 3m wide surrounds a rectangular garden 15 m wide and 18 mlong .what is the area of the path ?

Damon answered this for you.

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To find the area of the path surrounding a rectangular garden, you need to subtract the area of the garden from the area of the larger rectangle that includes both the garden and the path.

First, let's calculate the area of the garden:
Length of the garden = 18 m
Width of the garden = 15 m
Area of the garden = Length × Width = 18 m × 15 m = 270 m²

Next, let's calculate the dimensions of the larger rectangle that includes both the garden and the path:
Length of the larger rectangle = Length of the garden + twice the width of the path = 18 m + 2 × 3 m = 24 m
Width of the larger rectangle = Width of the garden + twice the width of the path = 15 m + 2 × 3 m = 21 m

Now, let's calculate the area of the larger rectangle:
Area of the larger rectangle = Length × Width = 24 m × 21 m = 504 m²

Finally, to find the area of the path, we subtract the area of the garden from the area of the larger rectangle:

Area of the path = Area of the larger rectangle - Area of the garden = 504 m² - 270 m² = 234 m²

Therefore, the area of the path is 234 square meters.