Question

WILL FAN AND MEDAL!!!!!!

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.

http://assets.openstudy.com/updates/attachments/5679809ee4b012befeb66195-nicoleg7-1450803369532-untitled.png

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

Answer 1

@Michele_Laino

Answer 2

@Thisguyjaden

Answer 3

@just_one_last_goodbye

Answer 4

@pooja195

Answer 5

@sky060902

Answer 6

as we can see the scale factor \(s\), is:
\[\huge s = \frac{{72}}{6} = ...?\]

Answer 7

more precisely, I meant:
\[\huge s = \frac{{EF}}{{AB}} = \frac{{72}}{6} = ...?\]

Answer 8

is the answer 12

Answer 9

no, it is the scale factor, if we go from the scaled-down walk way to the actual walk way

Answer 10

ok yeah so how do I find the answer now

Answer 11

so we have this:
\[\Large \begin{gathered}
GF = 12CB = 12 \times 3 = ...? \hfill \\
GH = 12CD = 12 \times 3 = ...? \hfill \\
EH = 12AD = 12 \times 4 = ...? \hfill \\
\end{gathered} \]

Answer 12

36
36
48

Answer 13

perfect! So the requested perimeter, is:
\[\Large \begin{gathered}
p = GF + GH + EH + EF = \hfill \\
\hfill \\
= 36 + 36 + 48 + 72 = ...{\text{feet}} \hfill \\
\end{gathered} \]

Answer 14

192

Answer 15

of course, the length of the actual walkway, is equal to the above perimeter

Answer 16

that's right!

Answer 17

it is \(192\) feet

Answer 18

oh ok thank you very much your a very good helper

Answer 19

:)