the ratio of the sides of two similar pentagons is 5: 9. if the area of the larger pentagon is 429.3 cm2, then the area of the
smaller pentagon is cm2. (a pentagon has 5 sides)
enter a number answer only.

132.5 cm²

Step-by-step explanation:

Given the ratio of 2 similar figures = a : b, then the

ratio of areas = a² : b²

Here the ratio of sides = 5 : 9, thus

ratio of areas = 5² : 9² = 25 : 81

Let x be the area of the smaller pentagon then by proportion

= ( cross- multiply )

81x = 10732.5 ( divide both sides by 81 )

x = 132.5

Area of smaller pentagon is 132.5 cm²

answer: the answer is 40.82

step-by-step explanation: 3.14 x 13(or half of 26) to the power of 2