Question

The length and breadth of a rectangular field are in the ratio 7 : 4. A path 4 m. Wide running all around outside has an area of 416 m.2. The breadth (in m) of the field is

Answer 1

Step-by-step explanation:

let length be 7x and breadth be 4x then area of path = (7x + 4)(4x + 4) - 7x × 4x = 416

28x^2 + 44x + 16 - 28x^2 = 416

44x + 16 = 416

44x = 400

x = 400/44 = 100/11

so breadth = 4 × 100/11

= 400/11 m

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