Question

Can someone please help me with this?! Will medal!

Answer 1

Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quadrilateral EFGH represents the actual walkway. ABCD is similar to EFGH.
What is the total length, in feet, of the actual walkway?

Numerical Answers Expected!

Answer 2

It's a scale model. All parts are proportional.

Answer 3

ok yes I know that. @tkhunny

Answer 4

@tkhunny can you come and help me?

Answer 5

@mathmale help please

Answer 6

Well, why don't you calculate the proportional parts?

You have 6":72'

There's your proportion.

Answer 7

then what? @tkhunny

Answer 8

Use that proportion to calculate the lengths of the other sides.

Answer 9

can you help me with that?! I am not very good at geometry.

Answer 10

a corresponding larger side will be 6/72 times the smaller side

Answer 11

to move from small shape to the similar larger one, that is the scale

Answer 12

tjhunny has shared the following with you already: You have 6":72'

There's your proportion.

that is, 6 inches on the model or drawing represents 72 feet in real life.

You can make up a unit conversion factor, either\[\frac{ 6inches }{ 72feet }\]

Answer 13

Careful, that's 6 inches to 72 feet. That's quite a bit bigger than 6/72.

Answer 14

or the reciprocal of that. Now, if you want to find the length of side FG, look at the model to see how long the corresponding side is. You figure out: should you multiply that length (3 inches) by the appropriate form of the conversion factor to get the "real life" length in feet.

Answer 15

What is the length of the model's side BC, in inches? Kitty: this question's for you.

Answer 16

ah i see that now

i would use 1/2, 1/4, 1/4, 1/3 feet for the small lengths,

so half a foot is to 72 feet
as
1/4 foot is to FG

Answer 17

what is the total length, in feet, of the actual walkway?

Answer 18

is 1/4 the answer? I am a little confused.

Answer 19

To answer my own question: Side BC is 3 inches long.
We want to convert this measurement to feet in the real-life situation.

Multiplying 3 inches by \[\frac{ 72ft }{ 6 inches}\]

results in \[\frac{ 72feet }{ 6inches }(3inches)=36 feet.\]

Answer 20

Granted, there are other forms of the conversion factors, that involve inches to inches, feet to feet, and so on.

Answer 21

so 36 is the final answer?!

Answer 22

Kitty, I've re-read the problem. I don't think you need to find the area of the walkway, but rather you need to find the "length," however that is defined. (I find this part of the problem to be vague.)

Answer 23

you can set up equal proportions and solve for each side too like this

\[\frac{ 1/2 }{ 72 } = \frac{ 1/4 }{ FG }\]
solve , FG = 36

Answer 24

1/ 2 ft goes to 72 ft , as, 1/4 goes to FG,

Answer 25

the question is
What is the total length, in feet, of the actual walkway?

Answer 26

same for the other sides to find

Answer 27

the total of all the sides, the perimeter

Answer 28

is 36 the answer?

Answer 29

I am confused

Answer 30

FG is 36 ft, GH is the same as tha tone 36ft also

and

1/2 to 72 is the same as 1/3 to HE

\[\frac{ 1/2 }{ 72 } = \frac{ 1/3 }{ HE }\]

HE = 48 ft

Answer 31

total length is sum of the sides, 72 + 36 + 36 + 48 ft

Answer 32

equals 192

Answer 33

correct?! want to make sure!

Answer 34

the perimeters of both should still retain that same similarity ratio, the sum of linear factors, is still linear

Answer 35

4/3 ft goes to 192 ft

same as 1/2 ft goes to 72

Answer 36

192 feet is the answer right? I have a lot of other questions to do and don't have all night.

Answer 37

yes or no please tell me!!

Answer 38

@DanJS @mathmale is the answer 192?!

Answer 39

Kitty, I'm sorry you're operating under pressure. Nevertheless, begging others to check your answers for you is NOT going to help you in the long run. What really counts is your ability to undrstand and apply the material (conversion factors and scale models) that you're learning here.
Personally I'd be glad to confirm the correctness of your work IF and only IF you share it with me, so that I know how you obtained your answer.

Answer 40

Is there any way in which you could post questions and problems a bit earlier, so that you wouldn't have deadlines to worry about so much? Are your practice problems timed, or can you take a while to understand the problems in more depth?

Answer 41

i said --total length is sum of the sides, 72 + 36 + 36 + 48 ft

you unsure calling that 192?

Answer 42

that was your work ,so idk