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Joshuam1
 2 years ago
Triangle UVW is the preimage 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
Joshuam1
 2 years ago
Triangle UVW is the preimage 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

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srossd
 2 years ago
Best ResponseYou've already chosen the best response.1An 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.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0wow that was simple O_O

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0I have some similar questions. Think you can have a look?

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0Quadrilateral HIJK is the preimage of quadrilateral LMNO. Find the scale factor, t.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0the options are 9/4 , 5/3, 9/25, 3/2

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1So, 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.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0okay i have another I'm just working out what you said so i can have it for myself

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1Okay, let me know if you have any questions.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0Find WZ if the area of trapezoid ABCD is 225 cm2, the area of trapezoid WXYZ is 81 cm2, and AD is 35 cm.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.021 cm 12.6 cm 58.3 cm 97.2 cm

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1So, find the scale factor first, like I did in the last question.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1Not quite, you forgot to take the square root.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0find the sqrt of 2.77?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1Right, 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.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1Right, so now use that to find WZ.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1Right, so WZ = 21. Good job!

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0:D sweet 2 more questions

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0Find the area of the preimage rectangle QRST if the area of the image rectangle DEFG is 54 cm^2 and the scale factor is 3/2

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0216 cm^2 108 cm^2 54 cm^2 24 cm^2

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1Well, with those choices, it's pretty obvious. It has to be less than 54. But still, try and work it out.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0okay :D what is the first step?

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1Square the scale factor,s ince you're working with area.

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1Right. Now, you're going from post image to preimage, so you have to divide by that.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0sorry no i divded 54 and 3/2

srossd
 2 years ago
Best ResponseYou've already chosen the best response.1You need to divide by the squared ratio, since you're dealing with area.

Joshuam1
 2 years ago
Best ResponseYou've already chosen the best response.0ty for all your help I am done :D
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