Mathematics
Grade6
Easy

Question

Find the area of rectangular park which is 22 fraction numerator 2 over denominator 7 end fraction m long and 12 fraction numerator 1 over denominator 4 end fraction m broad.

  1. text 173 end text ​ m to the power of 2 end exponent    
  2. text 373 end text ​ m to the power of 2 end exponent    
  3. text 270 end text ​ m to the power of 2 end exponent    
  4.      

Hint:

To find the area of the rectangular park use formula Area = length x breadth ,To simplify the calculation convert mixed fractions to improper fractions.

The correct answer is:


    Use Improper fraction = fraction numerator open parentheses text Whole number × Denominator end text close parentheses text  + Numerator end text over denominator text Denominator end text end fraction to covert mixed fraction into Improper fraction
    Length of the park equals 22 fraction numerator 2 over denominator 7 end fraction m equals fraction numerator 156 over denominator 7 end fraction m
    Width of the park =12 fraction numerator 1 over denominator 4 end fraction m equals fraction numerator 49 over denominator 4 end fraction m
    Area of the park =length × breadth
    equals fraction numerator 156 over denominator 7 end fraction cross times fraction numerator 49 over denominator 4 end fraction m to the power of 2 end exponent
    equals 273 m to the power of 2 end exponent
    Therefore, the area of the rectangular park is 273 m squared .

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