Question

Each side of a square field is 20m. There is another field and ratio of their adjacent sides is 3:1. If the perimeter of both the fields are same, find the dimensions of the rectangular field ​

Answer 1

Answer:

30 m by 10 m

Step-by-step explanation:

Perimeter of the square field = 4 × side length = 4 × 20 = 80 m

For the other field,

Length : Breadth :: 3 : 1

∴ Length = 3 × Breadth

Let the breadth of the other field be x. Then, its length will be 3x.

Perimeter of the other field = 2(3x+x) = 8x = 80 m

                                            ∴ x = 10 m

So, the breadth of the field is 10 m.

Length = 3 × breadth = 3 × 10 = 30 m

So, the dimensions of the rectangular field are 30 m (length) by 10 m (breadth)