Question

a regular pentagon had a perimeter of 25m and an area of 43.75m2 find the perimeter of a similar pentagon whth an area of 175m2

Answer 1

50 cm

Explanation:

Since the figures are similar then

linear ratios = a : b

area ratios = a² : b²

Here the ratio of areas = 43.75 : 175 = 1 : 4, thus

linear ratios = 1 : 2

The larger pentagon has a perimeter = 2 × 25 = 50 cm