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tmua.me Medium Set E Paper 1 · Q19

Paper 1Geometry

In trapezium ABCDABCD, the vertices are named in order around its boundary and ABAB is parallel to DCDC. The lengths are

AB=6,DC=2,AD=4.AB=6,\qquad DC=2,\qquad AD=4.

The diagonals ACAC and BDBD are perpendicular.

What is the area of the trapezium?

A2152\sqrt{15}
B838\sqrt3
C4154\sqrt{15}
D1616
E6156\sqrt{15}

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