Question

Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy:

http://assets.openstudy.com/updates/attachments/567986abe4b012befeb66838-nicoleg7-1450804927444-untitled.png

The ratio of CD:GH is 2:3. What is the length, in meters, of side EH on the photocopied image?

Answer 1

@Michele_Laino

Answer 2

@americansniper12 can u help me

Answer 3

i can try what grade is this

Answer 4

9th grade geometry

Answer 5

well im in the 8th grade but i have a high iq

Answer 6

ok well if you can help I would appreciate it very much

Answer 7

here we can write this proportion:
\[\huge AD:EH = 2:3\]

Answer 8

now I replace \(AD=8\), so I get:
\[\huge 8:EH = 2:3\]

Answer 9

finally, I apply the fundamental property of proportions:
\[\huge \begin{gathered}
2 \times EH = 3 \times 8 \hfill \\
\hfill \\
2 \times EH = 24 \hfill \\
\end{gathered} \]
what is the length of EH ?

Answer 10

12

Answer 11

that's right!

Answer 12

ok thxs

Answer 13

:)