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Australian AMC 2008 - Senior Question 14

AMC AUSTRALIA · Australian AMC 2008 - Senior

Question 14

A cross is made up of five squares, each with side length 1 unit. Two cuts are made, the first from $X$ to $Y$ and the second from $Z$ to $T$, so that $ZTX$ is a right angle. The three pieces are then arranged to form a rectangle.

What is the ratio of the length to the width of the rectangle?

Question illustration
  1. 3 : 1
  2. $\sqrt{10}:1$
  3. 2 : 1
  4. $2\sqrt3:1$
  5. 5 : 2