if the length of a rectangle is reduced by 1cm and breadth is increase by 1cm its area would increase by 2sq.cm . but if the length is increase by 2cm and breadth is reduced by 1cm , the area would increase by 7sq.cm. find the length and breadth of rectangle
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if A = length * width is the original area, the new area A’ will be related to A by
A’ = length’ * width’
= (1.10 * length) * (1.08 * width)
= (1.10 * 1.08) * (length * width)
= 1.188 * (length * width)
= 1.188 * A
The area will increase by 18.8%.
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