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

- anonymous

- schrodinger

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

the triangle

##### 1 Attachment

- 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

wow that was simple O_O

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

I have some similar questions. Think you can have a look?

- anonymous

Absolutely

- anonymous

Quadrilateral HIJK is the pre-image of quadrilateral LMNO. Find the scale factor, t.

- anonymous

##### 1 Attachment

- anonymous

the options are 9/4 , 5/3, 9/25, 3/2

- 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

okay i have another I'm just working out what you said so i can have it for myself

- anonymous

Okay, let me know if you have any questions.

- 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

21 cm
12.6 cm
58.3 cm
97.2 cm

##### 1 Attachment

- anonymous

So, find the scale factor first, like I did in the last question.

- anonymous

okay :D

- anonymous

2.77

- anonymous

Not quite, you forgot to take the square root.

- anonymous

find the sqrt of 2.77?

- 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

the sqrt is 1.66

- anonymous

Right, so now use that to find WZ.

- anonymous

how?

- anonymous

AB/WZ = 1.66

- anonymous

35/21 =1.66

- anonymous

Right, so WZ = 21. Good job!

- anonymous

:D sweet 2 more questions

- 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

##### 1 Attachment

- anonymous

216 cm^2
108 cm^2
54 cm^2
24 cm^2

- anonymous

Well, with those choices, it's pretty obvious. It has to be less than 54. But still, try and work it out.

- anonymous

okay :D what is the first step?

- anonymous

Square the scale factor,s ince you're working with area.

- anonymous

2.25

- anonymous

Right. Now, you're going from post image to pre-image, so you have to divide by that.

- anonymous

oh okay

- anonymous

so square 54?

- anonymous

2916

- anonymous

wait oops my mistake

- anonymous

Are you doing 54/2.25?

- anonymous

sorry no i divded 54 and 3/2

- anonymous

You need to divide by the squared ratio, since you're dealing with area.

- anonymous

alright i got 24

- anonymous

Yup, nice job

- anonymous

ty for all your help I am done :D

- anonymous

Great, no problem

Looking for something else?

Not the answer you are looking for? Search for more explanations.