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APMOPS 2007 Question 20

APMOPS · APMOPS 2007

Question 20

The diagram shows quadrilateral $ABCD$ with $AB=AD=a$ cm and $BC=CD=b$ cm, where $a>b$ and both are whole numbers. Its area is 385 cm$^2$. Find its smallest perimeter, in cm. Source note: the diagram contains no right-angle marks; the source key appears to assume right angles. This discrepancy is analysed in the solution.

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