A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. How do you write an expression to represent the perimeter of the rectangle?

Solution:

The length of the side of the square = s

Length of one side of the rectangle = s - 6

The other side of the rectangle = s + 1

The perimeter of the rectangle = 2(L + b) = 2(s + 1 + s - 6) = 2(2s - 5) = 4s - 10

Hence the perimeter of rectangle is same as the perimeter of square

A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. How do you write an expression to represent the perimeter of the rectangle?

Summary:

A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. The perimeter of the rectangle = 4s - 10