Question

The Taylors have a square rug in their living room that is "x" feet long on each side. The room is 3

feet wider and 5 feet longer than the rug. Write an expression to describe the perimeter of

the living room.

Answer 1

`Perimeter = 4x+16`

Explanation:

Given

`Rug=x`

Required

Determine the perimeter of the room

The room is 3ft wider.

So:

`Width = Rug + 3`

`Width = x + 3`

The room is 5ft longer,

So:

`Length = Rug + 5`

`Length = x + 5`

The perimeter is:

`Perimeter = 2 * (Length + Width)`

`Perimeter = 2 * (x+5+x+3)`

Collect Like Terms

`Perimeter = 2 * (x+x+5+3)`

`Perimeter = 2 * (2x+8)`

`Perimeter = 4x+16`