Question

In a rectangular park of dimensions 50 m × 40 m, a rectangular pond is constructed so that the area of grass strip of uniform width surrounding the pond would be 1184 m2 . find the length and breadth of the pond.

Answer 1

Let the length of the pond be x and breadth be y.
Now according to question, the area of the strip surrounding the pond is 1184.
$(50 \times 40) - (x \times y) = 1184 \\ 2000 - are \: of \: the \: pond = 1184 \\ area \: of \: the \: pond = 2000 - 1184 \\ = 814 {m}^{2}$