High School

The ratio of the sides of two similar pentagons is 4:9. If the area of the larger pentagon is 603.45 cm\(^2\), what is the area of the smaller pentagon?

Answer :

Answer:

268.2 cm²

Step-by-step explanation:

Create the following ratio for both pentagons:

side : area

9 : 603.45 cm²

4 : A

We can see that multiplying 603.45 cm² by 4/9 will solve for A, as multiplying 9 by 4/9 will solve for 4.

4 = 9 × (4/9)

A = 603.45 cm² × (4/9)

A = 268.2 cm²

So, the area of the smaller pentagon is 268.2 cm².

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