The area of one square is 54 cm2, and the area of the other is 864 cm2. Find the coefficient of similarity of these squares.

Let’s denote the areas of squares S1, S2. If the data on the condition of the squares are transformed with the coefficient of similarity k, then for such figures the area ratio formula is valid:
S2 / S1 = k².
Find k:
k = √ (864/54) = √16 = 4.
Answer: the coefficient of similarity of these squares is 4.



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