ssr300 wrote:

A floorplan for a rectangular kitchen calls for the use of square tiles that are exactly one square foot in area, and for aesthetic reasons there can be no partial tiles. If the perimeter of the kitchen is formed by exactly 16 tiles, and the length of the floor is greater than the width, which of the following could be the length and width of the floor, in feet?

Width - Length

2

3

4

5

6

We know that, the perimeter of the kitchen floor is 16

2 * ( l+b) - 4 = 16 or l+b = 10

This is because the tile at the end will be common for both the length and breadth.

Also, it is known that the length is greater than the breadth(l > b)

The only option from the list which will match both the conditions are

Length : 6 Breadth : 4
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