Question

HELP PLEASE SHOW STEPS I HAVE NO IDEA WHAT TO DO. I HAVE BEEN TRYING TO FIGURE IT OUT BUT I CAN’T.

Answer 1

`\text{Area of rectangle}=\text{lengh}*\text{width}\\\text{Area of square}=\text{side}^2`

You just need to find differens between rectangle and square

`\text{lengh}*\text{width}-\text{side}^2\\\\(x+10)(2x+5)-(x+1)^2=2x^2+5x+20x+50-x^2-2x-1=x^2+23x+49`

`x^2+23x+49\:\text{is our answer}`

Answer 2

Answer:
`x^(2) +23x+49`

Explanation:

To find the area of the shaded region, you must find the area of the larger rectangle [(x+10)×(2x+5)] and subtract the area of the smaller rectangle [(x+1)×(x+1)] from it.

First, you simplify the larger rectangle's area:

(x+10)×(2x+5) =
`2x^(2) +25x+50`

Then, simplify the smaller rectangle's area:

(x+1)×(x+1) =
`x^(2) +2x+1`

Finally, subtract the smaller rectangle's area from the larger rectangle's area:

`(2x^(2) +25x+50) - (x^(2) +2x+1) = x^(2) +23x+49`

Therefore, the final answer is
`x^(2) +23x+49`.

I hope this helps!