1.

the length and breadth of a rectangular field are in the ratio 7 : 4. A path of 4 meter wide running all around side of an area 416 m2. Find breadth of the field.1. 15 m2. 16 m3. 17 m4. 18 m

Answer» Correct Answer - Option 2 : 16 m

Given - 

ratio of the length and breadth = 7 : 4

Area of path = 416 m2

4 meter wide path

Formula used - 

If a path of x m wide run around a rectangular field having length and breadth l and b then,

area of path = 2x × (l + b + 2x)

Solution - 

Let the length and breadth be 7k and 4k.

⇒ 2 × 4 × (7k + 4k + 8) = 416

⇒ 11k = 44

⇒ k = 4 m

⇒ breadth of rectangle = 4k = 16 m

∴ breadth of rectangle = 16 m.


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