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A rectangular park is 45m long and 30 m wide. A path of 2.5 mwide is constructed outside the park. Find the area of the path.

Question

A rectangular park is 45m long and 30 m wide. A path of 2.5 m wide is constructed outside the park. Find the area of the path.

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Solution

Sure, here are the steps to find the area of the path:

Step 1: First, we need to find the total area of the park with the path. The path is 2.5m wide all around the park, so it adds 5m to both the length and the width of the park. Therefore, the total length of the park with the path is 45m + 5m = 50m, and the total width is 30m + 5m = 35m.

Step 2: The area of a rectangle is found by multiplying its length by its width. So, the total area of the park with the path is 50m * 35m = 1750 square meters.

Step 3: Next, we need to find the area of the park without the path. The area of the park is 45m * 30m = 1350 square meters.

Step 4: Finally, to find the area of just the path, we subtract the area of the park from the total area. So, the area of the path is 1750 square meters - 1350 square meters = 400 square meters.

So, the area of the path is 400 square meters.

This problem has been solved

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