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Question Number 185938 by Mingma last updated on 30/Jan/23

Answered by HeferH last updated on 30/Jan/23

$$LetSbethepinkareaandlet5kbethearea$$$$ofABC.$$$$S(\frac{3k}{2}+S)=(k-S)(\frac{3k}{2}-S)$$$$S=\frac{3k}{8}$$$$\frac{Pink}{AreaofABC}=\frac{\frac{3k}{8}}{5k}=\frac{3}{40}$$

Commented by HeferH last updated on 30/Jan/23

Answered by mr W last updated on 30/Jan/23

Commented by mr W last updated on 30/Jan/23

$$DF=\frac{3}{5}\times DC=\frac{3}{5}\times BD$$$$GE=\frac{3}{5}\times BG=\frac{3}{8}\times BE$$$$\left[GDE\right]=\frac{3}{8}\times \left[BED\right]$$$$=\frac{3}{8}\times \frac{1}{2}\times \left[BEC\right]$$$$=\frac{3}{8}\times \frac{1}{2}\times \frac{2}{5}\times \left[ABC\right]$$$$=\frac{3}{40}\times \left[ABC\right]✓$$

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