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MathNet 2015-part-06 — 191 problems (EN–VI) Question 70

Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)

Question 70

Five squares (labelled $A$, $B$, $C$, $D$ and $E$) are drawn along a straight line, each touching the next square at a vertex, as shown in the diagram. Square $B$ has an area of $20$. Square $C$ has a side length of $4$. Square $D$ has double the area of square $B$. What is the area of square $E$?

Question illustration