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------------------------------------------------ ABCDE and FGHIJ are regular pentagons, with FGHIJ being the larger of the two. One side of pentagon ABCDE is 4 units long. If the ratio of the perimeters of the two pentagons is 2:3, how many units long is a side of pentagon FGHIJ?

Question

Middle School

Answer :

SusaneBliss SusaneBliss · Answer 1 · 2024-05-19T14:58:32-04:00

A side of pentagon FGHIJ is 6 units long.

Let's assume the length of a side of pentagon FGHIJ is x units.

The perimeter of pentagon ABCDE is 5 times the length of its side, which is 5 * 4 = 20 units.

The perimeter of pentagon FGHIJ is 5 times the length of its side, which is 5 * x = 5x units.

Given that the ratio of the perimeters is 2:3, we can set up the equation 20/5x = 2/3.

Cross-multiplying gives us 3 * 20 = 5x * 2.

Simplifying, we have 60 = 10x.

Dividing both sides by 10, we find x = 6.

Therefore, a side of pentagon FGHIJ is 6 units long.

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Diamondlemon Diamondlemon · Answer 2 · 2025-05-23T09:16:32-04:00

Answer:

I think it would be 3.1

Step-by-step explanation:

I think

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