The height of Plant D is 32.4 cm
The correct answer is an option (A)
For given question,
we have been given Plant A is currently 20 centimeters tall, and Plant B
is currently 12 centimeters tall and Plant C is 54 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.
This means, the ratio of the heights of Plant A to Plant B and the ratio of the heights of Plant C to Plant D are in proportion.
First we find the ratio of the heights of Plant A to Plant B.
A : B = 20 : 12
A : B = 5 : 3
Now, the ratio of the heights of Plant C to Plant D would be,
C : D = 54 : D
As A:B = C:D,
⇒ 5:3 = 54:D
⇒ [tex]\frac{5}{3} = \frac{54}{D}[/tex]
⇒ D = (54 × 3)/5
⇒ D = 32.4 cm
Therefore, the height of Plant D is 32.4 cm
The correct answer is an option (A)
Learn more about the ratio and proportion here:
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