The length and breadth of a rectangular park are in the ratio 5:2. A 2.5m wide path running all around the outside of the park has an area of 305sq.m. Find the dimensions of the park.

Let the length be 5x and breadth be 2x.

Length of the rectangle formed by the path will be 5(x+1)

Breadth of the rectangle formed by the path will be 2x+5

So, area of the path,

So, the dimensions are 55.55 m x 22.22 m