math

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?

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  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 รท 1/4 or 256 tiles

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