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Problem 359

Number theory Difficulty 2.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2024

The sides, in cm, of two squares are integers. The difference between the areas of the two squares is $19\text{ cm}^2$ . What is the sum of the perimeters of the two squares?

(A) $38\text{ cm}$ (B) $60\text{ cm}$ (C) $64\text{ cm}$ (D) $72\text{ cm}$ (E) $76\text{ cm}$

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