A rectangular lawn 70 meters by 50 meters has two roads each 6 meters wide running in the middle of it one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 80 paise per sq meter isOptions280547.2None of these300.5
Question
A rectangular lawn 70 meters by 50 meters has two roads each 6 meters wide running in the middle of it one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 80 paise per sq meter isOptions280547.2None of these300.5
Solution
The first step is to calculate the area of the two roads.
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The road parallel to the length of the lawn is 70 meters long and 6 meters wide. So, its area is 70*6 = 420 square meters.
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The road parallel to the breadth of the lawn is 50 meters long and 6 meters wide. So, its area is 50*6 = 300 square meters.
However, the intersection of the two roads has been counted twice. This intersection is a square with sides of 6 meters, so its area is 6*6 = 36 square meters.
So, the total area of the roads is 420 + 300 - 36 = 684 square meters.
The cost of gravelling the roads is 80 paise per square meter. So, the total cost is 684 * 80 = 54720 paise.
Since 100 paise make 1 rupee, the total cost in rupees is 54720 / 100 = 547.2 rupees.
So, the correct option is 547.2.
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