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The perimeter of a rectangle of length 28 cm and breadth 20 cm is equal to the perimeter of a square. What is the length of the side of that square? -

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Question

The perimeter of a rectangle of length 28 cm and breadth 20 cm is equal to the perimeter of a square. What is the length of the side of that square?

Sum

Solution

Perimeter of rectangle = 2 (length + breadth)
= 2 (28 + 20)
= 96

If the side of that square is a then 4a = 96

Perimeter of square = 96

4a = 96

∴ a = = `96/4` = 24.

Side of the square is 24 cm.

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