Question

∆ABC is similar to ∆DEF.

Answer 1

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

Answer 2

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. :)

Answer 3

@TillLindemann

Answer 4

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

Answer 5

It was multiplied by 4, right?

Answer 6

yes, and if you see the relationship, it was actually multiplied by \((2)^2\)

So for your question now.

Answer 7

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 __

Answer 8

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

Answer 9

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

Answer 10

The answer is 4. :)

Answer 11

Because the relationship between the area in this question would be 25.

And 100/25 = 4

Answer 12

So, good job! :D

Answer 13

Thank you so much!

Answer 14

Anytime :))