Question

The area is (2x + 15) square centimeters.

Answer 1

Answer:

$Area\:shaded=\frac{3}{5} (2x+15)$

Step-by-step explanation:

Let $s$ be the shaded area and $u$ be the unshaded area, then we know that

(1).  $\frac{s}{u}=\frac{3}{2}$

and

(2).   $s+u=(2x+15)$

We solve for $u$ in the first equation and get:

$u=\frac{2}{3}s$

and put this into the second equation and get:

$s+\frac{2}{3}s=(2x+15)$

$s(1+\frac{2}{3} )=(2x+15)$

$s(\frac{5}{3} )=(2x+15)$

$\boxed{s=\frac{3}{5} (2x+15)}$