Length and breadth of rectangular field are in the ratio 5 : 2. If the perimeter of the field is 238 m. Find the length of the field.

85 m

We know that,

Perimeter of the rectangle = 2 (length + breadth)

Given,

Ratio of length and breadth of the rectangular field = 5 : 2.

Perimeter of the rectangular field = 238 m.

Let the ratio of length and breadth of the rectangular field = 5a : 2a

According to the question

2 × (5a + 2a) = 238

= 2 × 7a = 238

= 14a² = 238

= a = 17 m

 Length of the field = 5 × 17 = 85 m