Marcy is putting a wallpaper border at the top of the walls of her baby's rectangular room. The width of the room is 2 feet less than the length. If she needs 52 feet of border, what are the dimensions of the room?

The baby's rectangular room is 14 feet long and 12 feet wide

Step-by-step explanation:

Assume we set:

x=width of the room

y=length of the room

The width of the room is 2 feet less than the length:

The total length of the wallpaper needed is the perimeter of the room. The formula for the perimeter of a rectangle is:

P=2x+2y

And the perimeter is equal to 52 feet:

2x+2y=52

Dividing by 2:

Substituting x from [1]:

y-2+y=26

Simplifying:

2y-2=26

Adding 2:

2y=28

Solving:

y=28/2=14

y=14

Find x:

x=y-2=14-2=12

The baby's rectangular room is 14 feet long and 12 feet wide

the answer is 62