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The diagonal of a polygon is directly proportional to its
perimeter. The perimeter of the polygon having a diagonal
of 8 units, is equal to 36 units. What is the perimeter of a
polygon having a diagonal of 10 units

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sqdancefan

Answer:

  45 units

Step-by-step explanation:

Given that the perimeter and diagonal length of a polygon are proportional and that a polygon with a diagonal of 8 units has a perimeter of 36 units, you want the perimeter for a diagonal of 10 units.

Proportion

The proportion of interest is ...

  P/d = p/10 = 36/8

Multiplying by 10 gives ...

  p = 10(36/8) = 45

The perimeter of the larger polygon is 45 units.

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