Question

HELP! ASAP

Answer 1

Answer:

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

Step-by-step 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

$(x^{2}+2x+1)-(5x-35)=(x^{2}-3x+36)\ unit^{2}$