The length and breadth of a rectangular plot of a land are in the ratio 9:7. The owner spent Rs 8,000/- for surrounding it from all the sides at the rate of Rs 10per meter. What is the difference between the length and breadth of the plot?

Solution

Let length = 9 x and breadth =7x [if gte msEquation 12]> x [if !msEquation]-->[endif]--> Perimeter = `(8000)/(10)` [if gte msEquation 12]> 8,000 10 [if !msEquation]-->[endif]-->= 800 m ⇒ 2(9 x + 7x ) = 800 m ⇒ 16 x [if gte msEquation 12]>x [if !msEquation]-->[endif]-->= 400 ∴ [if gte msEquation 12]>x [if !msEquation]-->[endif]-->x = `(400)/(16)` [if gte msEquation 12]> 400 16 [if !msEquation]-->[endif]-->= 25 m ∴ Length = 9 x = 9 x 25 = 225 m ∴ Breadth = 7 x = 7 x 25 = 175 m ∴ required difference = 225 – 175 = 50 m