1.5: Trapezium perimeter and area with surds

0606/11/O/N/19 — Question 8 · 6 marks

Do not use a calculator in this question.

In this question, all lengths are in centimetres.

The diagram shows the trapezium $ABCD$ in which angle $ADC$ is $90\degree$ and $AB$ is parallel to $DC$. It is given that $AB = 4 + 3\sqrt{5}$, $DC = 11 + 2\sqrt{5}$ and $AD = 7 + \sqrt{5}$.