The area of a rectangle is 8w +18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Pls help ASAP

The expression that represents the width of the rectangle is 4w + 9

Step-by-step explanation:

The formula of the area of the rectangle is A = length × width

Let us solve the question

∵ The area of a rectangle is 8w + 18 square feet.

∴  A = 8w + 18

∵ The HCF of 8 and 18 is 2

→ Divide each term of the area by 2 to get 2 as a common factor

∵ 8 ÷ 2 = 4 and 18 ÷ 2 = 9

∴ A = 2(4w + 9)

∵ The length of the rectangle is 2 feet

→ Substitute it in the formula of the area above

∵ A = 2 × width

∴ A = 2 width

→ Equate the two right sides of the area

∴ 2 width = 2(4w + 9)

→ Divide both sides by 2

∴ The width = 4w + 9

∴ The expression that represents the width of the rectangle is 4w + 9

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!