Question

Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a

perimeter represented by the expression 6x + 2. Write the expression that represents the
difference in the perimeters of Rectangle ABCD and Rectangle PQRS. Write the steps and
solution.

Answer 1

D.
`3x + 1`

Explanation:

Perimeter of Rectangle ABCD =
`9x + 3`

Perimeter of Rectangle PQRS =
`6x + 2`

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

`(9x + 3) - (6x + 2)`

Open Parentheses

`9x + 3 - 6x - 2`

Collect like terms

`9x - 6x + 3 - 2`

`3x + 1`