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

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

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

$$areasquare={\left(100\right)}^2=10000$$$$arearectangle=125\times 85=$$$$\frac{arearectangle}{areasquare}=\frac{125\times 85}{100\times 100}=\frac{5}{4}\times \frac{17}{20}=\frac{17}{16}$$

Commented by TawaTawa last updated on 30/Oct/19

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.\mathrm{I}\mathrm{appreciate}$$

Answered by MJS last updated on 30/Oct/19

$$1.25\times .85=1.0625=\frac{17}{16}$$

Commented by TawaTawa last updated on 30/Oct/19

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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