Question

Cory is building an enclosure with recycled cardboard for her collection of model cars. Her design is as shown bhttp://orange.flvs.net/webdav/assessment_images/educator_geometry_v16/0408_a_g3_q2.jpgelow:
What is the length of side EF in inches?

15
25
30
45

Answer 1

Cannot open / view your illustration. Draw the diagram in question, or take a screen shot.

Answer 2

@mathmale I attached it\

Answer 3

this problem involves proportions. The shape on the right has the same shape as the one on the left, but is larger. You need to create a proportion comparing the length of any one side on the left with the corresponding side on the right. Use this proportion to find the length of EF. If you show your work, I'd be happy to comment on it.

Answer 4

Windows 10 huh?

Answer 5

yes lol @boldjon

Answer 6

@mathmale idk how to. or what to do.

Answer 7

thanx lol

Answer 8

Suppose you are 15 years old and I am 70. The ratio of our ages would then be 15/70. Have you worked with ratios / proportions before?

Answer 9

no @mathmale

Answer 10

From what sources are you currently learning algebra? online? book? class materials?

Answer 11

online and its not algebra, its geometry @mathmale

Answer 12

Can you do searches of your online learning material? If so, search for "proportions."

Answer 13

I dont think i can.

Answer 14

Where do you normally look for info when you don't know the meaning of a term or concept?

Answer 15

the dictionary

Answer 16

That sometimes helps, but you'd be better off with a textbook. If you know the vocabulary describing the topic at hand, you could do internet searches. I've just done one for you for "geometric proportion" and have come up with the following:

https://www.google.com/search?sourceid=chrome-psyapi2&ion=1&espv=2&es_th=1&ie=UTF-8&q=geometric%20proportion&oq=geometric%20proportion&aqs=chrome..69i57j0l5.12053j0j7

Answer 17

See specifically: http://www.purplemath.com/modules/ratio6.htm

Here you'll see two triangles, one larger than the other, but with equal corresponding angles.

Answer 18

So how does i find side ef ?

Answer 19

You can form a ratio that represent how side A relates to side a in length.

The same action produces the ratio B/b.

Answer 20

Because the triangles are "similar," that is, because the corresponding angles are the same, you can form the ratio A/a =B/b, and if you know any 3 of these four quantities, you can solve for the unknown one.

Answer 21

Any questions about that?

Answer 22

whoa. im really confused.

Answer 23

This seems to be the first time you've encountered ratios, so it's not realilstic to expect that y ou understand instantly what I'm talking about.

Cory builds a model for a bigger field. Side ML is 8 inches long, whereas the corresponding side in the actual project, DC, is 40 inches long.

Write the ratio of these two quantities.

Answer 24

8/40

Answer 25

Exactly. Reduce that, please.

Answer 26

2/10 ?

Answer 27

yes. reduce that further.

Answer 28

1/5 ?

Answer 29

Yes. Which figure is 1/5 the size of the other figure? Which figure is 5 times as large as the other figure?

Answer 30

corys project ?

Answer 31

I asked two questions. "cory's project" is the answer to which one of those questions?

Answer 32

corys design ?

Answer 33

Look at the 2 diagrams. You can see that one is larger than the other, right? Which one is larger?

Answer 34

corys project is larger

Answer 35

Right. Now, according to the measurements shown on both figures, and according to our discussion of ratios, how much larger is the project than the design?

Answer 36

1/5 ?

Answer 37

You say the project is larger, but your 1/5 says that the project is only 1/5th as large as the model. that's not correct. Please try again. The actual project is how many times larger than the model is?

Answer 38

Review our previous discussion, please.

Answer 39

im not suree..

Answer 40

the project is bigger; precisely, the project is 5 times larger than the model. Please look at the diagrams again, and compare the lengths of corresponding sides. Do they seem to obey the "5 times larger" conclusion?

Answer 41

yes ?

Answer 42

Side JH is 6 cm long. Do you agree?

Answer 43

yes. so would I multiply each side by 5 ?

Answer 44

Exactly.

Look at side ML. How long is it?

Answer 45

8 inches

Answer 46

so side ef would be 25 inches ?

Answer 47

Right. Now multiply that by 5.
How did y ou get 25 inches?

Answer 48

because side nh is 5 inches

Answer 49

and you multiplied that by what?

Answer 50

so I multiplied it by 5 to get side ef

Answer 51

Right. Perfect.

Answer 52

Find the length of side AB, please.