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2018 Math Kangaroo

Problem 8

Problem 8 · 2018 Math Kangaroo Medium
Geometry & Measurement spatial-reasoning

A figure is made up of three squares. The side length of the smallest square is 6 cm. How long is the side length of the biggest square?

Figure for Math Kangaroo 2018 Problem 8
Show answer
Answer: C — 12 cm
Show hints
Hint 1 of 2
Use the marked 2 cm step to relate each square's side to the next.
Still stuck? Show hint 2 →
Hint 2 of 2
Build up from the smallest side of 6 cm, adding the step sizes the figure shows, to reach the biggest square.
Show solution
Approach: read side lengths off the stepped figure
  1. The smallest square has side 6 cm.
  2. The figure's marked 2 cm steps show how much longer each next square's side is than the one before.
  3. Adding those steps up from 6 cm reaches the largest square's side of 12 cm.
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