Question

salma used a photocopier to dilate the design for a monorail track system. the figure shows the design and its photocopy
the ratio of ad:eh is 1:2. what is the length, in meters, of side gh on the photocopied image?
15
17
30
34

Explanation:

Step1: Identify corresponding sides

Since the figures are dilated, \(AD\) corresponds to \(EH\) and \(BC\) corresponds to \(GH\).

Step2: Use the ratio

Given \(\frac{AD}{EH}=\frac{1}{2}\), and the figures are similar. Also, \(BC = 17\) m.
Since the ratio of corresponding sides is \(1:2\), for side \(GH\) (corresponding to \(BC\)), we have \(\frac{BC}{GH}=\frac{1}{2}\).

Step3: Solve for \(GH\)

Cross - multiply: \(GH = 2\times BC\). Substitute \(BC = 17\) m. So \(GH=2\times17\).

Answer:

\(34\)