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What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?

Correct answer: D. 3:1

  • A. 4:8
  • B. 1:4
  • C. 6:2
  • D. 3:1

Explanation

All squares have the same fixed relationship between side and diagonal, so if one diagonal is three times the other, its side is also three times as long. Perimeter is four times the side, so the perimeters are in the ratio 3:1. The likely wrong choice is 1:4, which reverses the ratio and also confuses perimeter with area.

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