the length and breadth of a rectangular piece land are in the..., Area, General Mathematics

Question:The length and breadth of a rectangular piece of land are in the ratio of 5 : 4 : 3. The owner spent Rs. 3000 for surrounding it from all the sides at Rs. 7.50 per metre. The difference between its length and breadth is :

A `50 m` 
B `100 m` 
C `150 m` 
D `200 m`

/98

+ AnswerA

+ ExplanationLet length = 5x and breadth = 3x in metres.

Then, perimeter `= 2 (5x + 3x)` metres = 16x metres.

But, perimeter `= Total cost/Rate/m`

                     ` = (3000 xx 2/15) m`

                     `= 400 m.`

       `:. 16x = 400 or x = 25.`

      :. Diff. in length & breadth

    `= (5x - 3x) = 2x = 50 m.`

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