The length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2 . What is the area of the original square ?
Let original length of each side = `x` cm .
Then, its area = `x^2` `cm^2`
Length of rectangle formed = `( x + 5) ` cm and is breadth = `x` cm.
`:.` ` (x + 5)/(x) = 3/2`
`hArr 2x + 10 = 3x`
`hArr x = 10.`
`:.` Original length of each side = 10 cm and is area = 100 `cm^2`
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