Question

The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, write an expression to represent the length of the rectangle. Draw a picture to guide you.

Answer 1

The expression for the length of the rectangle is 2x + 4

Explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, then the expression for the length of the rectangle would be

Length = Area/ width

= (14x + 28)/7

The numerator has a common factor of 7. Therefore, if we factorize 7 out, it becomes

7(2x + 4)/7

Length = 2x + 4