Answer:
The expression that represents the width of the rectangle is 4w + 9
Explanation:
The formula of the area of the rectangle is A= length x width
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 x 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