Question

The length and breadth of a rectangular piece of a land are in a ratio 8:4 The owner spent Rs. 8000 for surrounding it from all sides at Rs.4 per metre. The difference between its length and breadth is....??

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Answer 1

Answer:

Step-by-step explanation:

ratio = 8:4

let length be 8x

let breadth be 4x

Cost of surrounding it = Rs.4 per metre

Total cost = Rs. 8000

No. of metres = 8000/4 = 2000 metres

perimeter of rectangle = 2(l+b)

                                      = 2 ( 8x+4x)

                                      = 2 * 12x

                                      = 24x = 2000 metres

hence x = 2000/24

difference between length and breadth = 8x - 4x = 4x

hence 4x = 2000 * 4/24 = 333.333

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