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Geometry Difficulty 2.1 Junior Find the answer Canada

In the diagram, the large rectangle is divided into $9$ smaller rectangles.

Each of the $5$ smaller shaded
rectangles has a width of $4$ and
each of the $4$ smaller unshaded
rectangles has a width of $8$ . The
width, $w$ , of the large rectangle
is

Pick one

Solution

The $5$ smaller shaded
rectangles contribute $5\times4=20$
to the width of the large rectangle.

The $4$ smaller unshaded rectangles
contribute $4\times8=32$ to the width
of the large rectangle.

The width of the large rectangle is $w=20+32=52$ .

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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.