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Two roads each 10m wide has been made running perpendicularly to each other inside a rectangular field of dimension 90m X 50m. What is the cost of spreading pebbles over them at the rate of Rs.8 per m².?
- a)10400
- b)15400
- c)17500
- d)20600
- e)None of the Above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two roads each 10m wide has been made running perpendicularly to each ...
Area of Roads = (l + b – w) * w
Area of Roads = (90 + 50 – 10) * 10 = 1300m²
Cost = 1300 * 8 = 10400
Area of Roads = (90 + 50 – 10) * 10 = 1300m²
Cost = 1300 * 8 = 10400
Most Upvoted Answer
Two roads each 10m wide has been made running perpendicularly to each ...
To find the cost of spreading pebbles over the roads, we need to calculate the total area of the roads and multiply it by the cost per meter.
The total area of each road can be calculated by multiplying its width (10m) by the length of the field (90m) or the width of the field (50m) respectively.
Area of the road running parallel to the length of the field = 10m * 90m = 900m²
Area of the road running parallel to the width of the field = 10m * 50m = 500m²
The total area of both roads = 900m² + 500m² = 1400m²
Now, we can calculate the cost of spreading pebbles over the roads by multiplying the total area (1400m²) by the cost per meter (Rs. 8).
Cost = 1400m² * Rs. 8/m² = Rs. 11200. Answer: \boxed{11200}.
The total area of each road can be calculated by multiplying its width (10m) by the length of the field (90m) or the width of the field (50m) respectively.
Area of the road running parallel to the length of the field = 10m * 90m = 900m²
Area of the road running parallel to the width of the field = 10m * 50m = 500m²
The total area of both roads = 900m² + 500m² = 1400m²
Now, we can calculate the cost of spreading pebbles over the roads by multiplying the total area (1400m²) by the cost per meter (Rs. 8).
Cost = 1400m² * Rs. 8/m² = Rs. 11200. Answer: \boxed{11200}.
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