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The Ratio of the length and breadth of a plot is 3:2 .If the breadth is 40m less than the what is the parameter of the plot?

Correct answer: C. 400m

  • A. 480m
  • B. 320m
  • C. 400m
  • D. 450m

Explanation

Let the length and breadth be 3k metres and 2k metres. Their difference is k metres, and it is given as 40 metres, so k = 40 metres; the dimensions are therefore 120 metres and 80 metres. The perimeter is 2 × (120 metres + 80 metres) = 400 metres. The likely mistake is choosing 320 metres by adding the dimensions without doubling for all four sides.

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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.

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