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

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140

171 square meters

A garden measures 10m long and 8m wide.A path of width is made all arround the garden.The total area of the garden and thd paths is 168m^2

A garden measures 10m long and 8m wide.A path of width is made all arround the garden.The total area of the garden and thd paths is 168m^2 find thd width of the path.

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

1. Find the area of the larger rectangle: The length of the larger rectangle would be the length of the garden plus twice the width of the path (since there is path on both sides of the garden). Similarly, the width of the larger rectangle would be the width of the garden plus twice the width of the path. So, the area of the larger rectangle is (15 + 2 * 3) * (18 + 2 * 3).

Area of the larger rectangle = (15 + 2 * 3) * (18 + 2 * 3)
= (15 + 6) * (18 + 6)
= 21 * 24

2. Find the area of the garden: The area of the garden is simply the length multiplied by the width.

Area of the garden = 15 * 18

3. Subtract the area of the garden from the area of the larger rectangle to find the area of the path.

Area of the path = Area of the larger rectangle - Area of the garden
= 21 * 24 - (15 * 18)

Therefore, the area of the path is the result of the subtraction.