Maths Olympiad Prep

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, 2014

Geometry Difficulty 1.1 Junior Find the answer Canada

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

Figure 0

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

Solution

Since x=3x=3, the side lengths of the figure are 4, 3, 6, and 10. Thus, the perimeter of the figure is 4+3+6+10=234+3+6+10=23. (Alternatively, the perimeter is x+6+10+(x+1)=2x+17x+6+10+(x+1)=2x+17. When x=3x=3, this equals 2(3)+172(3)+17 or 2323.)

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