Question

the wades are putting a 4 inch wallpaper border around their rectangular living room. what are the dimensions of the room if the width is 3.5 feet less than the length, and the perimeter of the room is 67 feet.

Answer 1

Let x be the width of the room. If the width is 3.5 feet less than the length, then the length is x+3.5. The perimeter is x+x+x+3.5+x+3.5=4x+7.

Since the perimeter is equal to 67, then 4x+7=67, 4x=60, x=60÷4, x=15 ft and x+3.5=15+3.5=18.5 ft.
Answer: the width is 15 ft, the length is 18.5 ft.