Question

Find the area of the shaded region

Answer 1

Option A - 5x^2 +7x -26

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

Answer 2

5x² + 7x - 26

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