The length, in meters, of side FG on the photocopied image is 28 m and this can be determined by using the concept of dilation.
Given :
- Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy.
- The ratio of (DA : HE) is 1:2.
- AB = 17 m
- BC = 14 m
The following steps can be used in order to determine the length, in meters, of side FG on the photocopied image:
Step 1 - According to the given data, the side length of DA is 2 times the side length of HE.
Step 2 - From the above step, it can be concluded that 2 is the dilation factor.
Step 3 - From the given data, the length of BC is 14m. So, the length of the side FG is given by:
FG = 2 BC
Step 4 - Substitute the value of length of side BC in the above expression.
FG = 2(14)
FG = 28 m
Therefore, the correct option is C).
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