Similar Parallelograms: Finding Area Ratio from 3:4 Side Ratio

Question

1027.51.5The two parallelograms above are similar. The ratio between their sides is 3:4.

What is the ratio between the the areas of the parallelograms?

Video Solution

Solution Steps

00:00 Find the ratio between the areas of parallelograms
00:03 Let's find the similarity ratio between the parallelograms
00:13 This is the similarity ratio
00:19 The area ratio equals the similarity ratio squared
00:39 And this is the solution to the question

Step-by-Step Solution

The square of the ratio between the sides is equal to the ratio between the areas of the parallelograms:

32:42=9:16 3^2:4^2=9:16

Answer

9:16

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