Instead of building a road 40 meters wide, a construction company builds a road that is 120 centimetres wider. What is the increase in cost for the material (in percent) if the length of the road is the same?
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The answer is 3 %.
Step-by-step explanation:
Let L m denote the length of the road. If the road is 120 centimetres wider, then it is (120 / 100) m = 1.2 m wider. Area has increased by 1.2 × L.
The original area was 40 × L and the percentage increase in cost is proportional to the percentage increase in area, so the cost increases by (100 × 1.2L/40L)% = (120/40)% = 3%.
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