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Question

If the perimeter of the shown tiled floor is 20 units, it’s area is ______ sq. units.

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Solution

We know that perimeter is the sum of length of the boundary.
We will calculate the number of tiles present at the boundary of floor.
Number of tiles along boundary = 20
Perimeter of floor = 20 units
On checking the boundary,
Length of each tile = 1 unit
Given that the area of each tile = 1 sq. unit
Total number of tiles in the floor = 24
Area of floor = 1 x 24 = 24 sq. units

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