Question

Chinmaye has maintained a rectangular lawn whose area is

. If the length of the lawn
is

, find the breadth of the lawn

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+4x  

2

 

⇒x  

2

−45x+296=0

⇒x  

2

−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.