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Question Number 153432 by naka3546 last updated on 07/Sep/21

Commented by talminator2856791 last updated on 07/Sep/21

$$\mathrm{how}?$$

Answered by talminator2856791 last updated on 07/Sep/21

$$$$$$17=\sqrt{13}x\cdot \sin (X+{\tan }^{-1}\left(\frac{2}{3}\right))\left(\mathrm{not}\mathrm{needed}\right)$$$$17=3x\cdot \sin \left(X\right)+2x\cdot \cos \left(X\right)$$$$26=5x\cdot \cos \left(X\right)+2x\cdot \sin \left(X\right)$$$$$$$$x=5$$$$$$$$\mathrm{shaded}\mathrm{area}$$$$=17\times 26-7\left(5\times 5\right)$$$$=267$$$$$$

Answered by mr W last updated on 07/Sep/21

Commented by mr W last updated on 07/Sep/21

$$r=red,g=green$$$$26=2r+5g$$$$17=3r+2g$$$$\Rightarrow g=4,r=3$$$$sidelengthofsmallsquares$$$$=\sqrt{4^2+3^2}=5$$$$shadedarea=26\times 17-7\times 5^2=267$$

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