A rectangular lawn is 16m×40m and has two roads each 5m wide running in the middle of it one parallel to its length and other to breadth . find the cost of constructing the roads at the rate of =80 rupees per square metre
one is 16 * 5
the other is (40 - 5) = 35 *5
so
80 *5 [ 16+35 ] = 80*5*51-
To find the cost of constructing the roads, we need to calculate the area of the roads and then multiply it by the cost per square meter.
The rectangular lawn is described as 16m by 40m, which means its length is 16m and its width is 40m. The two roads are each 5m wide and run in the middle, parallel to the length and breadth of the lawn.
To calculate the area of the roads, we first need to find the length and width of the rectangle formed by the roads.
The length of the road parallel to the length of the lawn is the same as the length of the lawn, so it is 16m.
The width of the road parallel to the breadth of the lawn is the same as the width of the lawn, so it is 40m.
Now, we can calculate the area of the roads.
The area of the road parallel to the length of the lawn is: 16m * 5m = 80m².
The area of the road parallel to the breadth of the lawn is: 40m * 5m = 200m².
To find the total area of the roads, we add the areas of the two roads together: 80m² + 200m² = 280m².
Now, we can calculate the cost of constructing the roads by multiplying the total area of the roads by the cost per square meter.
Cost of constructing the roads = 280m² * 80 rupees/m² = 22,400 rupees.
Therefore, the cost of constructing the roads at the rate of 80 rupees per square meter would be 22,400 rupees.