Question

Length and Bredth of a rectangular park are
50m and 40m. Two path crosses each
other at right angle in the middle of each
park. The width of longer path is 2m and
shorter path is 2.5m find area of paths-​

Answer 1

Answer:

Let x = Distance between the boundaries of the lawn and the pond.

Length of pond =(50−2x) m and breadth of pond =(40−2x)m

Area of pond = Area of lawn − Area of grass around pond.

∴(40−2x)(50−2x)=(50)(40)−1184

2000−1184=2000−180x+4x²

⇒x²

−45x+296=0

⇒x²

−8x−37x+296=0

⇒x(x−8)−37(x−8)=0

⇒(x−8)(x−37)=0

x=37,x=8

If x=8,l=50−2x=34m

b=40−2x=24m

Taking x=8 as more realistic value, length of pond will be 34m and breadth will be 24m.