Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

Sagot :

MrRoyal

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

The area of the shaded region is [tex]5x^2+7x-26[/tex]

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:

[tex]A_1 = (3x - 4)(2x + 2)[/tex]

Multiply

[tex]A_1 =x^2 -9x + 18[/tex]

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

So, the area of the small rectangle is:

[tex]A_2 =(x - 3)(x - 6)[/tex]

Multiply

[tex]A_2 = x^2 - 9x +18[/tex]

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

So, we have:

[tex]A = 6x^2 - x^2-2x+9x-18-8[/tex]

Evaluate the like terms

[tex]A = 5x^2+7x-26[/tex]

Hence, the area of the shaded region is [tex]5x^2+7x-26[/tex]

Read more about areas at:

https://brainly.com/question/12208883

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.