question_answer

Sita Devi wants to make a rectangular pond on the road side for the purpose of providing drinking water for street animals. The area of the pond will be decreased by 3 square feet if its length is decreased by 2 ft. and breadth is increased by 1 ft. Its area will be increased by 4 square feet if the length is increased by 1 ft. and breadth remains same. Find the dimensions of the pond. What motivated Sita Devi to provide water point for street animals?

Answer:

Let length of rectangular pond = x ft. and breadth of rectangular pond = y ft.

Area of rectangular pond \[=xy\]

According to the question,

\[(x-2)(y+1)=(xy-3)\]

\[xy+x-2y-2=xy-3\]

\[x-2y=-1\]                                            ?(i)

\[(x+1).y=(xy+4)\]

\[xy+y=xy+4\]

\[y=4\]                                           ...(ii)

Putting the value of y in eq. (i), we get

\[x-2(4)=-1\]

\[x-8=-1\]

\[\Rightarrow x=-1+8=7\]

Length of rectangular pond = 7 ft.

Breadth of rectangular pond = 4 ft.

Values:

1. Water is essential for the survival of all living things including street animals.

2. Water is the base of life and no one can live without it.