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- anonymous

∆ABC is similar to ∆DEF.

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- anonymous

∆ABC is similar to ∆DEF.

- schrodinger

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- anonymous

- TheSmartOne

So, lets find the relationship between area and perimeter between similar figures.

- TheSmartOne

|dw:1435078642288:dw|

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- TheSmartOne

So when the perimeter was multiplied by 2, how much was the area multiplied by?
and, I know this is not your question, I'm showing you an example so you can understand better. :)

- TheSmartOne

- anonymous

Sorry, internet was bugging out on me. Let me read this.. :)

- anonymous

It was multiplied by 4, right?

- TheSmartOne

yes, and if you see the relationship, it was actually multiplied by \((2)^2\)
So for your question now.

- TheSmartOne

So Triangle ABC is bigger than Triangle DEF
The perimeter of ABC is perimeter of DEF multiplied by 5
The area of ABC is area of DEF multiplied by __

- TheSmartOne

From the example, we learned that when we multiply the perimeter by x, then the area is multiplied by x^2

- anonymous

Wait, I don't understand. I put the answer as 4..? or.. am I not understanding this?

- TheSmartOne

The answer is 4. :)

- TheSmartOne

Because the relationship between the area in this question would be 25.
And 100/25 = 4

- TheSmartOne

So, good job! :D

- anonymous

Thank you so much!

- TheSmartOne

Anytime :))

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