Question

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.

Answer 1

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