Question

Find the area of the shaded region. Round your answer to the nearest hundreth. Big Ideas Math

Answer 1

The area of the shaded region is the space occupied by the shaded region

The area of the shaded region is $5x^2+7x-26$

How to determine the area of the shaded region

The dimension of the big rectangle is 3x - 4 by 2x + 2.

So, the area of the big rectangle is:

$A_1 = (3x - 4)(2x + 2)$

Multiply

$A_1 =x^2 -9x + 18$

The dimension of the small rectangle is x - 3 by x - 6

So, the area of the small rectangle is:

$A_2 =(x - 3)(x - 6)$

Multiply

$A_2 = x^2 - 9x +18$

The area of the shaded region is the difference between the above areas.

So, we have:

$A = 6x^2 - x^2-2x+9x-18-8$

Evaluate the like terms

$A = 5x^2+7x-26$

Hence, the area of the shaded region is $5x^2+7x-26$

Read more about areas at:

brainly.com/question/12208883