Kevin is creating a mosaic out of tiles. One of the tiles is shown. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-08-08%20at%203.39.27%20PM_20230808133940083426.png) What is the perimeter of the tile, rounded to the nearest inch (in.)?

Given that, ![](http://admin.getprephub.com/media/editor/Screenshot%202023-08-08%20at%203.39.19%20PM_20230808133952480684.png) Here, $$A B=12$$ in.,$$ C D=9$$ in., $$D E=8$$ in. In $$\triangle A B C$$, $$\cos 35^{\circ}=\frac{\text { Adjacent leg length }}{\text { hypotenuse }}=\frac{B C}{A B}=\frac{B C}{12}$$ Or, $$B C=12 \cos 35^{\circ} \approx 9.83$$ Again In $$\triangle A B C$$, $$ \sin 35^{\circ}=\frac{\text { opposite leg length }}{\text { hypotenuse }}=\frac{A C}{A B}=\frac{A C}{12} $$ Or, $$A C=12 \sin 35^{\circ} \approx 6.88$$ $$A D=A C+C D=6.88+9=15.88$$ (approx) In $$\triangle A D E$$, By Pythagoras theorem, $$A E^{2}+D E^{2}=A D^{2}$$ or, $$A E^{2}=A D^{2}-D E^{2}$$ or, $$A E^{2}=(15.88)^{2}-8^{2} \approx 13.72$$ Perimeter of the tile, rounded to the nearest inch (in.) $$=A B+B C+C D+D E+A E$$ $$=12+9.83+9+8+13.72$$ $$=52.55 \approx 53$$ (rounded off to the nearest inch)

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Kevin is creating a mosaic out of tiles. One of the tiles is shown.

What is the perimeter of the tile, rounded to the nearest inch (in.)?

Select all that apply :

$53$

$45$

$25$

$30$

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