Two squares and two given areas. What’s the total area?

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## Solution

The total area is 59.

Draw containing square & diagonal, giving a square in the bottom corner. Apply symmetries to get 4 triangles area 5, so central square has area 25, side 5 & therefore corner squares have side 2, giving total area, 59.

## Poem

In the box

Another box

You can put in it so well

A stone, sand, a shell,

A perfume, a smell,

You can hold them these days

And keep them safe always

Don’t let them out of the box

Just keep them well and care

To let them out of the treasure box you need the key

You just ask me !