### Areas and Ratios

What is the area of the quadrilateral APOQ? Working on the building blocks will give you some insights that may help you to work it out.

### Six Discs

Six circular discs are packed in different-shaped boxes so that the discs touch their neighbours and the sides of the box. Can you put the boxes in order according to the areas of their bases?

The area of the pentagon is the area of a rectangle of length $b$ and breadth $a$ plus that of a triangle of base $b$ and height $(c - a)$.
Hence $\frac {1}{2}b(a + c)$.