A rectangular living room measures 12 feet by 10 feet. A carpet placed on the floor leaves a border 2 feet wide all around it. What is the area of the border?

Find area of carpet and subtract from area of living room

2 feet border around all so we have

legnth and width of room is 12 and 10

legnth and width of carpet is (12-2-2) and (10-2-2)

it is minus 2 twice since there are 2 sides of the carpet so

L and W of carpet=8 and 6

so area

area of living room=LW = (12) (10) = 120

area of carpet=LW = (8) (6) = 48

subtract

120-48=72

area is 72 ft^2 or 72 square feet