PLEASE HELP ME WITH THIS MATH PROBLEM!!

Given : The Area of the Rectangle = x⁴ - 100

We know that : (a + b)(a - b) = a² - b²

⇒   x⁴ - 100 can be written as : (x²)² - (10)²

⇒   (x²)² - (10)² can be written as : (x² + 10)(x² - 10)

We know that, Area of a Rectangle is given by : Length × Width

Comparing (x² + 10)(x² - 10) with Area of the Rectangle formula, We can notice that :

⊕   Length = x² + 10

⊕   Width = x² - 10

Given : Length of the Rectangle is 20 units more than Width

⇒   Width + 20 = Length

⇒   x² - 10 + 20 = x² + 10

⇒   x² + 10 = x² + 10

Answer : x² - 10 represents the width of the rectangle. Because the area expression can be rewritten as (x² - 10)(x² + 10) which equals

(x² - 10)((x² - 10) + 20)

⇒   Option A

i think it would be 42cm

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!