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MathNet 2012 Question 31

Math Olympiad Vault · MathNet 2012

Question 31

Janja has decided to raise chickens and geese organically. She plans to fence a rectangular plot of area $1632\,\mathrm{m}^2$. She will keep the geese and chickens separate by dividing the plot in half with a fence across its width (see figure). She needs $198\,\mathrm{m}$ of fencing in total. What are the width and length of the plot?

Question illustration

(8 points)