anonymous
  • anonymous
Triangle UVW is the pre-image of triangle RST with a scale factor of 3. Find the area of triangle UVW if the area of triangle RST is 9 cm2. 81 cm2 27 cm2 18 cm2 9 cm2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
the triangle
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anonymous
  • anonymous
An intuitive way to think about this is that area is the square of distance. So, when you scale the distances of the sides by 3, the area scales by 9. So, 9 cm2 becomes 81 cm2.
anonymous
  • anonymous
wow that was simple O_O

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anonymous
  • anonymous
I have some similar questions. Think you can have a look?
anonymous
  • anonymous
Absolutely
anonymous
  • anonymous
Quadrilateral HIJK is the pre-image of quadrilateral LMNO. Find the scale factor, t.
anonymous
  • anonymous
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anonymous
  • anonymous
the options are 9/4 , 5/3, 9/25, 3/2
anonymous
  • anonymous
So, 375/135 = 2.77ish. You know from the last question that that's the square of the scale factor. Square root it and you get 1.66ish. So, 5/3.
anonymous
  • anonymous
okay i have another I'm just working out what you said so i can have it for myself
anonymous
  • anonymous
Okay, let me know if you have any questions.
anonymous
  • anonymous
Find WZ if the area of trapezoid ABCD is 225 cm2, the area of trapezoid WXYZ is 81 cm2, and AD is 35 cm.
anonymous
  • anonymous
21 cm 12.6 cm 58.3 cm 97.2 cm
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anonymous
  • anonymous
So, find the scale factor first, like I did in the last question.
anonymous
  • anonymous
okay :D
anonymous
  • anonymous
2.77
anonymous
  • anonymous
Not quite, you forgot to take the square root.
anonymous
  • anonymous
find the sqrt of 2.77?
anonymous
  • anonymous
Right, 225/81=2.77, but that's the ratio of the areas. To turn that into the ratio of lengths, you need the square root.
anonymous
  • anonymous
the sqrt is 1.66
anonymous
  • anonymous
Right, so now use that to find WZ.
anonymous
  • anonymous
how?
anonymous
  • anonymous
AB/WZ = 1.66
anonymous
  • anonymous
35/21 =1.66
anonymous
  • anonymous
Right, so WZ = 21. Good job!
anonymous
  • anonymous
:D sweet 2 more questions
anonymous
  • anonymous
Find the area of the pre-image rectangle QRST if the area of the image rectangle DEFG is 54 cm^2 and the scale factor is 3/2
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anonymous
  • anonymous
216 cm^2 108 cm^2 54 cm^2 24 cm^2
anonymous
  • anonymous
Well, with those choices, it's pretty obvious. It has to be less than 54. But still, try and work it out.
anonymous
  • anonymous
okay :D what is the first step?
anonymous
  • anonymous
Square the scale factor,s ince you're working with area.
anonymous
  • anonymous
2.25
anonymous
  • anonymous
Right. Now, you're going from post image to pre-image, so you have to divide by that.
anonymous
  • anonymous
oh okay
anonymous
  • anonymous
so square 54?
anonymous
  • anonymous
2916
anonymous
  • anonymous
wait oops my mistake
anonymous
  • anonymous
Are you doing 54/2.25?
anonymous
  • anonymous
sorry no i divded 54 and 3/2
anonymous
  • anonymous
You need to divide by the squared ratio, since you're dealing with area.
anonymous
  • anonymous
alright i got 24
anonymous
  • anonymous
Yup, nice job
anonymous
  • anonymous
ty for all your help I am done :D
anonymous
  • anonymous
Great, no problem

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