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Geometry Difficulty 2.4 Junior Find the answer Canada

A small square is drawn inside a larger square, as shown.

The area of the shaded region and the area of the unshaded region are
each $\text{18 cm 2}$ . What is the
side length of the larger square?

Pick one

Solution

The area of the shaded region and the area of the unshaded region
are each equal to $18 \text{ cm}^2$ . The area of the larger square is equal to the sum of the areas of the shaded and unshaded regions, which is $18
$\text{}$ cm}^2+18 $\text{}$ cm}^2=36 $\text{}$ cm}^2. Thus, the side length of the larger square is

Figure for this problem $\sqrt{36 \text{}}$ cm}^2}=6 $\text{}$ cm}$.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.