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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

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