Question

HELP! ASAP

Find the area of the shaded region.

Step 1) Find the area of the bigger rectangle.

Step 2) Find the area of the smaller rectangle.

Step 3) Subtract the 2 polynomials.

Answer 1

Tthe area of the shaded region is
`(x^(2)-3x+36)\ unit^(2)`

Explanation:

we know that

To find the area of the shaded region (blue region), subtract the area of the smaller rectangle from the area of the larger square

so

Find the area of the larger square

`A=(x+1)^(2)=(x^(2)+2x+1)\ unit^(2)`

Find the area of the smaller rectangle

`A=5(x-7)=(5x-35)\ unit^(2)`

Subtract the polynomials

`(x^(2)+2x+1)-(5x-35)=(x^(2)-3x+36)\ unit^(2)`