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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.

Respuesta :

MrRoyal

Answer:

[tex]Perimeter = 4x+16[/tex]

Step-by-step explanation:

Given

[tex]Rug=x[/tex]

Required

Determine the perimeter of the room

The room is 3ft wider.

So:

[tex]Width = Rug + 3[/tex]

[tex]Width = x + 3[/tex]

The room is 5ft longer,

So:

[tex]Length = Rug + 5[/tex]

[tex]Length = x + 5[/tex]

The perimeter is:

[tex]Perimeter = 2 * (Length + Width)[/tex]

[tex]Perimeter = 2 * (x+5+x+3)[/tex]

Collect Like Terms

[tex]Perimeter = 2 * (x+x+5+3)[/tex]

[tex]Perimeter = 2 * (2x+8)[/tex]

[tex]Perimeter = 4x+16[/tex]

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