Answer:
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
