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18 December, 17:51

A landscaper has 125 tiles it has to be a square patio, the patio has to have at least an area of 80 square feet what are the possible arrangements? And how many tiles are not used in the arrangements?

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  1. 18 December, 18:11
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    Area of a square is given by multiplying the length by the width, but since a square has four sides of equal length, we will end up multiplying two numbers that are the same.

    We want a minimum area of 80 square feet and at the maximum of 125 square feet

    Think of the square numbers that are in between 80 and 125

    8 * 8 = 64

    9 * 9 = 81

    10 * 10 = 100

    11 * 11 = 121

    12 * 12 = 144

    There are three possible measurements of the patio:

    9 by 9 and number of tiles left = 125 - 81 = 44 tiles

    10 by 10 and number of tiles left = 125 - 100 = 25 tiles

    11 by 11 and number of tiles left = 125 - 121 = 4 tiles
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