Question

A toy company manufactures arcade games. They are marketing a new pinball machine to children. It is similar in size to the adult version of the same game. Both the adult and child models are shown below. If the perimeter of the adult pinball machine is 177 inches, what is the length, in inches of Segment line G prime A prime? Type the numeric answer only in the box below.

Answer 1

You can find GA from the perimeter given, then find the scale ratio using EM : E'M'

Answer 2

can you explain plz

Answer 3

The perimeter of the big one is given along with three sides, so you can find the fourth.

Answer 4

The two shapes are similar, so corresponding lengths will be in the same ratio.
You know EM and E'M' so you can find the ratio from those lengths, then use that ratio with GA : G'A' to get the answer.

Answer 5

can you show me how to do it

Answer 6

Add up the three known sides of AMEG.

Answer 7

okay for AMEG I got 91

Answer 8

That seems too small. AM and GE are both larger than 50, so just those two together will be more than 100.
Try adding the three numbers again.

Answer 9

so sorry I added only 2 sides. its 147

Answer 10

now what do I do?

Answer 11

can you still help me?

Answer 12

Yeah, so you subtract that from the given perimeter of the big machine.

Answer 13

so subtract 147 - 177?

Answer 14

Yeah, but keep the number positive because it is a length.

Answer 15

so I got 30

Answer 16

is that the right answer?

Answer 17

That's what I got too. Ok, so you're one step closer.
Now since you know the shapes are similar the ratio of G'A' : GA is the same as E'M' : EM, so you can set it up as a proportion to solve for the unknown side.

Answer 18

how do I get that up?

Answer 19

set**

Answer 20

The proportinality statement G'A' : GA :: E'M' : EM can be written using fractions thus:
(Here I will let x = G'A')
\[\large \frac{x}{GA}=\frac{E'M'}{EM}\]
Plug in all your known numbers and solve the proportion.

Answer 21

its says math processing error

Answer 22

ill give you a medal if you tell me the answer :)

Answer 23

hello are still there?

Answer 24

Try it yourself and I'll check your work.
I don't accept medals for giving answers.
http://openstudy.com/code-of-conduct

Answer 25

I still dont know how to do it

Answer 26

If you don't know how to solve proportions then you shouldn't be attempting these kinds of problems. This is a geometry problem that should be studied after learning algebra, or at least after a strong foundation in arithmetic, which would include proportional relations.

Try the following for review:

http://themathpage.com/ARITH/ratio-and-proportion_1-2.htm

http://themathpage.com/alg/equations-2.htm#fraction

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

Answer 27

I know all that but how do i set up this proportion. if you set it up then I do the rest.