## Shaded Cross

#### Problem

Find the area of the diagram below that is shaded.

#### Solution

Surprisingly this can be tackled relatively easily by splitting the diagram up in the following way.

It should be clear that ^{20}/_{32} = ^{5}/_{8} of the diagram is shaded.

As the area of the square is 16 cm^{2},

Area shaded = ^{5}/_{8} of 16 = 10 cm^{2}

What about the following diagram?

Problem ID: 125 (Oct 2003) Difficulty: 2 Star