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Question

A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.


Solution

Length of the rectangular field = 30 Mtrs.

Width of the rectangular field = 27 Mtrs.

Width of the path = 2.5 Mtrs.

So the length of the rectangular field without the path = 30 - (2 × 2.5) = 25 Mtrs.

So the width of the rectangular field without the path = 27 - (2 × 2.5) = 22 Mtrs.

So the Area of the rectangular field with the path = 30 × 27 = 810 Sqr. Mtrs.

And the area of the rectangular field without the path = 25 × 22 = 550 Sqr. Mtrs.

So the area of the path = 810 - 550 = 260 Sqr. Mtrs.

Ans: 260 Sqr. Mtrs.

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