anonymous
  • anonymous
∆ABC is similar to ∆DEF.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
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TheSmartOne
  • TheSmartOne
So, lets find the relationship between area and perimeter between similar figures.
TheSmartOne
  • TheSmartOne
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TheSmartOne
  • 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
  • TheSmartOne
anonymous
  • anonymous
Sorry, internet was bugging out on me. Let me read this.. :)
anonymous
  • anonymous
It was multiplied by 4, right?
TheSmartOne
  • TheSmartOne
yes, and if you see the relationship, it was actually multiplied by \((2)^2\) So for your question now.
TheSmartOne
  • 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
  • TheSmartOne
From the example, we learned that when we multiply the perimeter by x, then the area is multiplied by x^2
anonymous
  • anonymous
Wait, I don't understand. I put the answer as 4..? or.. am I not understanding this?
TheSmartOne
  • TheSmartOne
The answer is 4. :)
TheSmartOne
  • TheSmartOne
Because the relationship between the area in this question would be 25. And 100/25 = 4
TheSmartOne
  • TheSmartOne
So, good job! :D
anonymous
  • anonymous
Thank you so much!
TheSmartOne
  • TheSmartOne
Anytime :))

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