Find the area of the shaded region

Answer:
5x² + 7x - 26
Step-by-step explanation:
The formula for the area of a rectangle is
A = lw
1. Area of large rectangle = (2x+ 2)(3x - 4) = 6x² - 2x - 8
2. Area of small rectangle = (x - 3)( x - 6) = x² - 9x + 18
3. Difference = 6x²- 2x - 8
-(x² - 9x + 18)
= 5x² + 7x - 26
The area of the shaded region is 5x² + 7x - 26
Answer:
Option A - 5x^2 +7x -26
Step-by-step explanation:
Area of square - area of unshaded region
L xL - l x l
(2x +2) (3x -4) - (x-3) (x-6)
( 6x^2 -8x +6x -8) - (x^2 -6x -3x +18)
(6x^2 -2x -8) - ( x^2 -9x +18)
6x^2 -2x -8- x^2 +9x -18
5x^2 +7x -26
Therefore, option A is correct