Posted by **Tyler** on Thursday, May 15, 2008 at 7:22am.

Sam is going to tile a rectangular room that has an area of 64 square feet. He will be using square tiles that measure 1/4 square feet.

If the dimensions of the sun room are to be whole numbers in feet, list all of the possible sets of dimensions (length & width) FOR THE SUN ROOM AS WELL as the total number of tiles needed for each pair of dimensions that you give.

Where do I start?

- math -
**Reiny**, Thursday, May 15, 2008 at 8:01am
For an area of 64 square feet, the dimensions being whole numbers, the possible cases are :

l w

----

1,64 ----rather silly

2,32 --- still silly

4,16

8,8

16,4

32,2 ---- getting silly again

64,1

each gives an area of 64 square feet, each will need 64 ÷ 1/4 or 256 tiles

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