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UKMT Senior Mathematical Challenge, 2016

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows a square $ABCD$ and a right-angled triangle $ABE$ . The length of $BC$ is 3. The length of $BE$ is 4. What is the area of the shaded region?

(A) $5\frac{1}{4}$ (B) $5\frac{3}{8}$ (C) $5\frac{1}{2}$ (D) $5\frac{5}{8}$ (E) $5\frac{3}{4}$

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