The length of a rectangular floor is 2 feet more than its width. the area of the floor is 168 square feet. kim wants to use a rug in the middle of the room and leave a 2-foot border of the floor visible on all sides. what should the length (the shorter side) of the rug be

8 ft

Step-by-step explanation:

let width = x

then length= x+2

Area = l(w)

        =x(x+2)

168  = x^2 + 2x

x^2 + 2x-168=0

Using quadratic formula we get roots :

x= 12, x=-14

x= 12 (as width cannot be in negative)

then length= x+2 = 14

length of rug= length of floor - 4

                     = 14- 4

                    = 10

width of rug= width of floor- 4

                    = 12-4

                    = 8

Hence the length (the shorter side) of the rug be 8 feet !

ok

step-by-step explanation:

1010: 3030

is it i think