Question

4. Determine an expression, in simplified form, for the shaded area in the rectangle below.

Answer 1

`x^2+8x+29`

Explanation:

The shaded area is the large rectangle, minus the smaller rectangle.

Let's calculate both and simplify as much as possible

`(x+4)(x+8)-(x+1)(x+3) =x^2+12x+32 -(x^2+4x+3) =\\x^2+12x+32-x^2-4x-3 = x^2+8x+29`