NumericalModerate1.5 marks
7(b)
On a map drawn to a scale of 1:50,000, a rectangular plot of land ABCD has the following dimensions. AB = 6 cm; BC = 8 cm and all angles are right angles. Find:
the actual length of the diagonal distance AC of the plot in km.
Topic: Similarity / scale / maps and models
Previous-year question practice database
Answer
Exam answer
Map diagonal: AC = √(6²+8²) = 10 cm.
Scale = 1:50,000.
Actual AC = 10×50,000 cm = 500,000 cm = 5 km.
Answer: 5 km.
Explanation
Find the map diagonal by Pythagoras, then apply the linear scale factor.
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