# A rug is to fit in a room so that a border of consistent width is left on all four sides. If the room is 9 feet by 25 feet and the area of the rug is 57 square feet, how wide will the border be?

##### 1 Answer

Aug 18, 2016

The width of the border is

#### Explanation:

Let the width of the border be

Since the room is

25-w (i.e, width of border on one end)-w (i.e., width of border on the other end)

On the same lines, the breadth of the rug must be

Hence, the area of the rug

the L.H.S., we have,

But,

Hence, the width of the border is