24. A rectangular court, 100 metres long and 50 metres broad has within it two paths
4 metres wide across each to her running parallel to the sides. The cost of paving a sq
metre with stone is Rs. 2-50 and that of gravelling a sq. metre is Rs. 1. Find the total cost
of paving the court and grravelling the paths.
Answers
Answer:
Rs.52050
Step-by-step explanation:
Given that the paths are 3m on each side and goes across to the center of the opposite side. So, basically we have on one side a rectangle of length 300m and width 3m whose area is A 1 =300×3=900m²
and on another side a rectangle of length 50m and width 3m whose area is A2 =50×3=150m²
One important note, the area of the central part has been included twice, so it has to be subtracted from the total area covered by the path.
∴ Total area =900+150−(3×3)
=1050−9
=1041m²
The cost of paving the road at Rs.50 per square meter is =Rs.1041×50
=Rs.52050
Hence, the answer is Rs.52050.