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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

Respuesta :

absor201

Answer:

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 !

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