Maths-
General
Easy

Question

Plant A is currently 20 centimeters tall, and Plant B is currently 12 centimeters tall. The ratio of the heights of Plant A to Plant B is equal to the ratio of the heights of Plant C to Plant D. If Plant C is 54 centimeters tall, what is the height of Plant D, in centimeters?

  1. 32.4
  2. 44.0
  3. 62.0
  4. 90.0

The correct answer is: 32.4


    • Step by step explanation:
    ○        Given:
    Height of plant of A is 20 cm and plant B is 12 cm.
    Height of plant C is 54 cm.
    fraction numerator text  Height of plant  end text A over denominator text  Height of plant  end text B end fraction equals fraction numerator text  Height of plant  end text C over denominator text  Height of plant  end text D end fraction
    ○        Step 1.
    Find ratio of height of plant A to plant B
    fraction numerator text  Height of plant  end text A over denominator text  Height of plant  end text B end fraction equals 20 over 12
    fraction numerator text  Height of plant  end text A over denominator text  Height of plant  end text B end fraction equals 5 over 3
    ○        Step 2.
    It is given that,
    fraction numerator text  Height of plant  end text A over denominator text  Height of plant  end text B end fraction equals fraction numerator text  Height of plant  end text C over denominator text  Height of plant  end text D end fraction
    not stretchy rightwards double arrow 5 over 3 equals fraction numerator 54 over denominator text  Height of plant  end text D end fraction
    Height of plant D  5 = 54  3
    Height of plant D  = 162 over 5
    Height of plant D = 32.4
    Hence, the Height of plant D is 32.4 cm.
    • Final Answer:
    Correct option is,
    Option A. 32.4 cm

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