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Mrrafil [7]
3 years ago
9

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

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

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)}

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