The ratio of the areas of the two squares is 25 to 9. The length of one side of the smaller square is 30 meters. How long is one side of the larger square? Explain your reasoning.

Ratio of the areas of 2 squares=A1/A2 =25/9

let side of first square be S1

and that of second square is S2=30

A1=30*30=900

S2*S2/900=25/9

S2^2=25*900/9

=25*100

S2 = 5*10

S2=50

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