Question

Write an expression in simplest form to represent the area of the shaded region 3X 2 2X 3X 4X 

Answer 1

6
`x^(2)` + 8x

Explanation:

4x(3x + 2) = 12
`x^(2)` + 8x is the area of the big rectangle

2x(3x) = 6
`x^(2)` is the area of the small rectangle.

Subtract the small rectangle from the large rectangle to find the area of the shaded region

12
`x^(2)` + 8x - 6
`x^(2)`

6
`x^(2)` + 8x