NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 8: Ratio & Proportion - Multiple Choice Questions
Question 3

Question.  3

A picture is 60 cm wide and 1.8 m long. The ratio of its width to its perimeter in lowest form is

(A)

1 : 2

(B)

1 : 3

(C)

1 : 4

(D)

1 : 8

Detailed Answer with Explanation:

  1. Understand the sizes

    Width (= 60 ext{cm})

    Length (= 1.8 ext{m})

  2. Convert metres to centimetres

    We know (1 ext{m} = 100 ext{cm}).

    So, (1.8 ext{m} = 1.8 imes 100 ext{cm}).

    (1.8 imes 100 = 180)

    Therefore, Length (= 180 ext{cm}).

  3. Write the perimeter formula of a rectangle

    Perimeter (P = 2 imes ( ext{length} + ext{width})).

  4. Substitute the values

    ( ext{length} + ext{width} = 180 + 60)

    (180 + 60 = 240)

    So, (P = 2 imes 240)

    (P = 480 ext{cm})

  5. Form the ratio (width : perimeter)

    (60 : 480)

  6. Simplify the ratio to lowest terms

    Divide both numbers by (60).

    (60 div 60 = 1)

    (480 div 60 = 8)

    So, simplified ratio (= 1 : 8).

  7. Answer: (1 : 8) (Option D)

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NCERT Exemplar Solutions Class 6 – Mathematics – Unit 8: Ratio & Proportion – Multiple Choice Questions | Detailed Answers