1. One side of a square is increased by 2 metres and the other side is reduced by 2 metres. Then a rectangle is formed whose perimeter is 48cm. Find the side of the original square.
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Let the sides of the square be X
Then the sides of the rectangle be
X-2 and X+2 (from the question)
Given perimerer of rectangle is 48m
We know that the formula to find the perimeter of rectangle is
2( l+b ) = 48
Therefore,
2(X-2 + X+2) = 48
2( 2X ) = 48
( 2X ) = 48/2
X = 24/2
X = 12
Therefore length of sides of square is 12m.
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