question_answer

A rectangle park is 45 m long and 30m wide. A path 2.5 m wide is constructed outside the park. Find the area of the path 

Answer:

Let ABCD be the rectangular park and the shaded region represents the 2.5 wide path to be constructed outside the park.                       We have, PQ = (45 + 2.5 + 2.5) m = 50 m, PS = (30 + 2.5 + 2.5) m = 35 m Clearly, Area of the path = Area of rectangle PQRS - Area of rectangle ABCD \[=\left( 50\times 35 \right){{m}^{2}}-\left( 45\times 30 \right){{m}^{2}}\] \[=1750{{m}^{2}}-1350{{m}^{2}}=400{{m}^{2}}\]