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Problem 44

Geometry Difficulty 1.1 Find the answer CEMC Pascal · Canada · 2014

If $x=3$ , what is the perimeter of the figure shown?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Since $x=3$ , the side lengths of the figure are 4, 3, 6, and 10.

Thus, the perimeter of the figure is $4+3+6+10=23$ .

(Alternatively, the perimeter is $x+6+10+(x+1)=2x+17$ . When $x=3$ , this equals $2(3)+17$ or $23$ .)

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