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.

Question

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?

Answer 1

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