Question

in the center of rectangular lawn of dimensions 50mx40m,a rectangular pond has to be constructed so that the area of the grass , of equal width ,surrounding the pond would be 1184cm^2 find the length and breadtth of the pond

Answer 1

Answer:

34m x 24 m

Step-by-step explanation:

The area of the rectangular lawn will be

50 X 40 = 2000 m^2

Area of surrounding grass = 1184m^2

Therefore,

Area of pond = 2000 - 1184

= 816 m^2

By hit and trial method,

if we take the width of the surrounding grass as 8m,

The dimensions of the pond will be

34 m x 24 m which is equal to the area of the pond which we calculated earlier

Since all of this checks out, the dimensions of the pond are

34m x 24m