The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100. Which expression represents the width of the rectangle?

1. x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).

2. x2+10 because the area expression can be rewritten as (x2+10)(x2−10) which equals (x2+10)((x2+10)−20).

3. x2−30 because the area expression can be rewritten as (x2+10)(x2−10) which equals (x2+10)((x2−30)+20).

4. x2+30 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2+30)−20).

because the area expression can be rewritten as which equals

Step-by-step explanation:

Area of the rectangle

Since the length of a rectangle is 20 units more than its width.

The correct option is therefore 1.

Step-by-step explanation:

The area of the rectangle is , which can be factored as , because it's the difference of two perfect squares.

But, we know that , where is the length and is the width.

Additionally, and , which means .

Therefore, the right answer is A.

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a