The length of a rectangular rug is 2 times its width. The rug is centered in a rectangular room. Each edge is 3 feet from the nearest wall. How do you write a polynomial that represents the area of the room?

1 Answer
Martha W.
Jul 9, 2017

#A=2x^2+18x+36#

Explanation:

Let #x=# the width of the rug
#2x=# the length of the rug
The width of the room #=x+6# (3 feet on each side of the rug)
The length of the room #=2x+6# feet

A=length multiplied by width so

#A=(x+6)(2x+6)#

#A=2x^2+18x+36#

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