Question

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

Answer 1

45 units

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.