Question

Determine the area of the red triangular region.
4x+2
M
x
2x-2
$

Answer 1

The area of the triangle. (WHOLE)

`(4x+2)(2x-2)=8x^(2) -4x-4`

The area of the gray square.

`(x)(x+1)=x^(2) +x`

Subtract.

`(8x^(2) -4x-4)-(x^(2) +x)\\=7x^(2) -3x-4`

Hope this helped.