Similar Rectangles: Finding Area Ratio with 9:8 Side Length Proportion

Question

Rectangle ABCD is similar to Rectangle EFGH.

The ratio between the lengths of their sides is 9:8.

If we multiply the lengths of the sides by 9, then what is the ratio between the areas of the large rectangles?

Video Solution

Solution Steps

00:00 Find the ratio of areas between the large rectangles

00:03 We multiplied the rectangles according to the given data

00:13 The ratio of rectangle areas equals the similarity ratio squared

00:33 Square both numerator and denominator

00:41 And this is the solution to the question

Step-by-Step Solution

We raise to the power of 2:

$9^2:8^2=81:64$

Answer

81:64

Related Subjects

Similarity of Triangles and Polygons