The width of a rectangle is 4x - 4.25 feet and the length is 7x + 7 feet. Write and

expression to find the perimeter of the rectangle.

Answer: The expression can be written as Perimeter = 22x + 5.5

Step-by-step explanation: The perimeter of a rectangle is given as 2 (L + W), where L is the length and W is the width. In the question, the length L has been given as 7x + 7 while the width W has been given as 4x - 4.25.

Inserting the values of the length and the width, the perimeter can now be properly written as,

Perimeter = 2 (L + W)

Perimeter = 2 ({7x + 7} + {4x - 4.25})

By collecting like terms we now have

Perimeter = 2 (11x + 2.75)

Perimeter = 22x + 5.5

Perimeter is 2l+2w in the case of a rectangle, so you would write:

2 (4x - 4.25) + 2 (7x + 7)