If-the-length-of-a-square-is-increased-by-25-while-its-width-is-decrease-by-15-to-form-a-rectangle-What-is-the-ratio-of-the-area-of-the-rectangle-to-the-area-of-the-square-

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Question Number 72593 by TawaTawa last updated on 30/Oct/19

If the length of a square is increased by 25% while its width is decrease by 15% to form a rectangle. What is the ratio of the area of the rectangle to the area of the square

$$\mathrm{If}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{a}\:\mathrm{square}\:\mathrm{is}\:\mathrm{increased}\:\mathrm{by}\:\:\mathrm{25\%}\:\mathrm{while}\:\mathrm{its} \\ $$$$\mathrm{width}\:\mathrm{is}\:\mathrm{decrease}\:\mathrm{by}\:\:\:\mathrm{15\%}\:\:\:\mathrm{to}\:\mathrm{form}\:\mathrm{a}\:\mathrm{rectangle}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{rectangle}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{square} \\ $$

Answered by Tanmay chaudhury last updated on 30/Oct/19

area square=(100)^2 =10000 area rectangle=125×85= ((area rectangle)/(area square))=((125×85)/(100×100))=(5/4)×((17)/(20))=((17)/(16))

$${area}\:{square}=\left(\mathrm{100}\right)^{\mathrm{2}} =\mathrm{10000} \\ $$$${area}\:{rectangle}=\mathrm{125}×\mathrm{85}= \\ $$$$\frac{{area}\:{rectangle}}{{area}\:{square}}=\frac{\mathrm{125}×\mathrm{85}}{\mathrm{100}×\mathrm{100}}=\frac{\mathrm{5}}{\mathrm{4}}×\frac{\mathrm{17}}{\mathrm{20}}=\frac{\mathrm{17}}{\mathrm{16}} \\ $$

Commented by TawaTawa last updated on 30/Oct/19