anonymous
  • anonymous
Figures I and II are similar pentagons. Find the Perimeter of pentagon II.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
@paul1231
anonymous
  • anonymous
the two pentagons are similar what do you think that means?

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anonymous
  • anonymous
I dont know how to start this problem.
anonymous
  • anonymous
the ratio of their perimeters is equal to the ratio of their corresponding side lengths
anonymous
  • anonymous
How do i find any of their side lengths though?
anonymous
  • anonymous
@heather040200
anonymous
  • anonymous
we have two figures A and B if A is similar to B it means that if we multiply A with some number x we will get B so Ax =B (THEY ARE IN RATIO) what does this mean to us side(A) * x = side(B) where side(A) means side of A perimeter(A)*x = perimeter(B) area of(A)*x = area(B) i hope you get the point
anonymous
  • anonymous
it is given that the Area of I = 43 cm^2 Area of II = 387 cm^2 but they are similar so find their ratio Area II/Area I = 387/43 = 9 the perimeter of II would be 3*25 = 75 cm and the side length of II would be 75/5 = 15cm
anonymous
  • anonymous
We know that if you find the ratio of the areas and take the square root, you will have the ratio of the perimeters So find the ratio of the areas: 387/43
anonymous
  • anonymous
dammit heather why are you so hot ? :X
anonymous
  • anonymous
why 3 X 25?
anonymous
  • anonymous
because the units of area is cm^2 and the units of perimeter is cm
anonymous
  • anonymous
9cm^2 = 3cm you cannot really multiply 25cm with 9cm^2 because their units are different so you have to convert 9cm^2 to 3cm before you can multiply them think about adding 10grams to 15 meters it does not make sense does it
anonymous
  • anonymous
oh yeah i think i get it so i can say.... perimeter II= 3/1 X 25? why am i multiplying 25 though... where did that come from?
anonymous
  • anonymous
25 is the perimeter of the small one you are trying to find the big one
anonymous
  • anonymous
yeah but why multiply the perimeter of the small one by the ratio of the areas of the two? What exactly is the formula?
anonymous
  • anonymous
there is no formula the two objects are similar which means they are in ratio so their areas are in ratio and their peremeters are in ratio and their sides aswell
anonymous
  • anonymous
bcuz the ratio tells you how big they are to each other they are 3:1 that means the bigger one is 3 times bigger then the smaller one so the perimeter of the big one is going to be 3 times bigger then the small one
anonymous
  • anonymous
does this make sense... Perimeter of II/Perimeter of I= 3/1 therefore, Perimeter of II= 3(25)=75 cm.
anonymous
  • anonymous
looks good to me :)
anonymous
  • anonymous
Thanks for the help guys!
anonymous
  • anonymous
this is how you answer it given : Ar(I) = 43cm^2 Ar(II) = 387cm^2 Perimeter(I) =25cm^2 to find: Perimeter(II) Since fig.I and fig.2 are similar it implies that the two objects are in ratio. Ar(II)/Ar(I) = 387cm^2/43cm^2 = 9cm^2 the magnitude of their ratio = 9 cm^2 or sqrt(9cm^2) = 3cm upon multiplying Perimeter(I) with 3 we get, 25*3 = 75cm^2 which is the perimeter of fig.II
anonymous
  • anonymous
No problem :)
anonymous
  • anonymous
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anonymous
  • anonymous
looks good
anonymous
  • anonymous
well that will also work :X

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