Two cross roads, each of width 5 m, run at right angles through the centre
of a rectangular park of length 70 m and breadth 45 m and parallel to its
sides. Find the area of the roads. Also find the cost of constructing the
roads at the rate of 105 per m².
Answers
Answer:
Step-by-step explanation:
{Refer to the attachment diagram for convenience...}
Length of the Rectangular park (BC): 70m.
Breadth of the Rectangular park (AB): 45m.
Area of the Rectangular park (ABCD): (l × b) unit
→70 × 45
→3150 sq. m.
Length of vertical road (JK): 45m.
Breadth of vertical road (IJ): 5m.
Area of vertical road (IJKL): (l × b) unit
→45 × 5
→225 sq. m.
Lenght of the horizontal road (YZ): 70m.
Breadth of the horizontal road (ZW): 5m.
Area of the horizontal road (WXYZ): (l + b) unit
→70 × 5
→350 sq. m.
Side of the overlapping roads (GH): 5m.
Area of the overlapping roads (EFGH): (s^2) unit
→5^2
→25 sq. m.
Total Area of the roads (Excluding the overlapping roads): Area of (XYZW) + (IJKL) - (EFGH)
→225 + 350 - 25
→550 sq. m.
Rate of cost of constructing roads per sq. m.: 105.
Total cost of constructing the roads: 105 × 550
→57750
Hence, the cost of constructing the roads is 57750.
{All the sides taken are given in the attachment diagram...}
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