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

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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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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 50m50 m

B 100m100 m

C 150m150 m

D 200m200 m

A

A $50 m$

B $100 m$

C $150 m$

D $200 m$