6th Class Mathematics Ratio and Proportion

  • question_answer 13) Consider the statement: Ratio of breadth and length of a hall is 2 : 5. Complete the following table that shows some possible breadths and lengths of the hall.
    Breadth of the hall (in m) 10\[\]40
    Length of the hall (in m) 25   50 \[\]
    TIPS Firstly, check that ratio of given breadth and length of hall is equal to given ratio or not. Then, for missing term multiply by same number in given value of length and breadth both.

    Answer:

                    Given, ratio of breadth and length of a hall = 2 : 5 Also given, breadth of the hall = 10 and length of the hall = 25 Then, the ratio of breadth and length \[=\frac{10}{25}=\frac{2}{5}=2:5\] Now, for finding first missing number, we have \[25\times 2=50\] i.e. when we multiply 25 by 2 we get 50. So, to get first missing term, we multiply 10 by 2. \[\therefore \]\[10\times 220\] Hence, second breadth of the hall = 20 and length of the hall = 50 For finding second missing number, we have \[40=10\times 4\] i.e. when we multiply 10 by 4 we get 40. So, to get second missing term, we multiply 25 by 4. \[\therefore \]\[25\times 4=100\] Hence, third breadth of hall = 40 and length = 100 Thus, the complete table is

    Breadth of the hall (in m) 10\[\]40
    Length of the hall (in m) 25   50 \[\].


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