Question 1184667
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Each side of the square must have a length that is an integer multiple of both 2cm and 3cm, so the side of the square can be any integer multiple of 6x.<br>
The area of the square is then (6x)^2 = 36x^2, where x is an integer.<br>
The total area of the 70 tiles is 70(6)=420.<br>
The area of the square can be...
x=1, area = 36(1^2)=36
x=2, area = 36(2^2)=144
x=3, area = 36(3^2)=324
x=4, area = 36(4^2)=576<br>
ANSWER: The area of the largest square that can be made with the 70 tiles is 324 cm^2<br>