Question

The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is

A) 50 metres B) 100 metres C) 150 metres D) 250 metres​

Answer 1

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• Ratio of Length and breadth = 5:3

• Owner spent Rs 6000 for surrounding it from all sides at Rs.7.50 per metre.

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• what's the difference between its length and breadth?

Formula to be used :-

• Perimeter of rectangle = 2(l+b)

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Given that,

Ratio of Length and breadth is = 5:3

Let the length be 5x and breadth be 3x.

Now, find the perimeter of the rectangle.

⟶ Perimeter of rectangle

= 6000/7.5

= 800 m

we know,

Perimeter of rectangle = 2(l+b)

⟶ 2(5x + 3x) = 800

⟶ 5x + 3x = 800/2

⟶ 8x = 400

⟶ x = 50

Hence,

Length = 5x = 5 × 50 = 250

Breadth = 3x = 3 × 50 = 150

_____________________________________________________

Therefore,

Difference between length and breadth

= 250- 150

= 100

Hence, Difference between length and breadth is 100.