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In Mathematics / Middle School | 2014-09-27

The two squares \( x \) and \( y \) are mathematically similar. The areas of \( x \) and \( y \) are 17 cm\(^2\) and 272 cm\(^2\), respectively. The length of \( x \) is 5 cm. Find the corresponding length of \( y \).

Asked by Beckolar

Answer (2)

I would set this up as a a proportion: 5 c m 17 c m ​ · x 272 c m ​
17x = 1360 x = 20 cm

Answered by ajmora10 | 2024-06-10

The corresponding length of square y is 20 cm, as it is four times the length of square x, which is 5 cm. This relationship is due to the fact that the areas of similar figures are proportional to the square of their corresponding lengths. Therefore, given that the areas of squares x and y are 17 cm² and 272 cm² respectively, the calculated length of square y is consistent with this ratio.
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Answered by Anonymous | 2024-12-26