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UKMT Junior Mathematical Challenge, 2020

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

In 1925, Zbigniew Morón published a rectangle that could be dissected into nine different sized squares as shown in the diagram. The lengths of the sides of these squares are $1, 4, 7, 8, 9, 10, 14, 15$ and $18$ . What is the area of Morón's rectangle?

(A) $144$ (B) $225$ (C) $900$ (D) $1024$ (E) $1056$

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