Question

Tom photocopied the image of a design for a monorail track system. The figure below shows the design and its photocopy.



The ratio of BC : CD is 2 : 3. The total length of track on the design is 49 meters. What is the length, in meters, of side GH on the photocopied image?

Answer 1

Would GH be 17m?

Answer 2

I think I figured this out. I set it up as a proportion.
Since this is a photocopied image the lengths of the sides are the same. The Design image ABCD has 2 side lengths given. The question asks what is the length of GH in the Photocopy. DC = GH The Perimeter is given for the Design = 49m

I subtracted the known sides from the perimeter; 7+17 = 24 49-24 = 25
This tells me the total lengths of BC & DC are 25m

The ratio of BC:CD = 2:3
I made GH = x for the equation

The equation is

2/3 = x/25 - x
I cross multiply.
2(25 -x) = 3x
50-2x = 3x
50 =5x
10= x

The length of GH = 10m
If I want to know the length of EH or BC I would 25- 10 = 15
:) Please let me know if this is correct.