Question

MATHEMATICAL CONNECTIONS Write a polynomial in standard form that represents the area of the shaded region.​

Answer 1

Check the picture below.

so since the shaded area is really just the area of those triangles, let's simply get the area of those two triangles with that base and height.

`2\left[\cfrac{1}{2}\stackrel{ base }{\left( \cfrac{x+6}{2} \right)}\stackrel{ height }{(x+5)} \right]\implies \cfrac{(x+6)(x+5)}{2}\implies \stackrel{ \textit{shaded region} }{\cfrac{x^2+11x+30}{2}}`