12. If one side of a square is increased by 5 metres and the other side is reduced by 5 metres, a rectangle
is formed whose perimeter is 30 m. Find the side of the original square.
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Step-by-step explanation:
in a square, all of the sides are equal
let the side of the square be x
therefore the sides of the rectangle are ( x + 5) and ( x - 5)
the perimeter of the rectangle is 2(lengh + breath)
2 [ ( x + 5 ) + ( x - 5)
2x + 10 + 2x - 10
= 4x
now
4x = 30
x = 30/4
x = 7.5
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