two cross roads , each of width 5m , run at right angles through the centre of a rectangular park of 70m and breadth 45m and parallel to its sides. find the area of roads ; also find the cost of constructing the roads at the rate of Rs . 105 per square m. please answer me fast.
The figure below shows two cross roads JKLM and PQRS inside a rectangular park ABCD;
Length of rectangular park; AB = 70 m
And breadth of park; AD = 45 m
Width of road = PQ = JK = 5 m
And PS = AB = 70 m and JM = AD = 45 m
Area of road PQRS =
And area of road JKLM =
area of common region WVUT =
So total area of cross roads =
Now cost of constructing the roads per metre square = Rs.105
Therefore total cost of constructing the road = = Rs.57750
Length of rectangular park; AB = 70 m
And breadth of park; AD = 45 m
Width of road = PQ = JK = 5 m
And PS = AB = 70 m and JM = AD = 45 m
Area of road PQRS =
And area of road JKLM =
area of common region WVUT =
So total area of cross roads =
Now cost of constructing the roads per metre square = Rs.105
Therefore total cost of constructing the road = = Rs.57750