Five unit squares inside a larger square. What is the total area?

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## Solution

The total area is 5+2√5, which is approximately 9,47.

From similarity of the little triangle at the bottom left and the larger one containing one square we get 1/a=a/(a+1). This leads to a=φ (the Golden Ratio).

Now the large square side squared can be found using the Pythagorean Theorem as φ^{2}+(φ+1)^{2}=4φ+3= 5+2√5.

## Poem

A band aid for the heart or for the soul

When wounds hurt, big or small

When in your life you have a bad fall

And don’t know what to do

The band aid will help and care for you

So may be than so well you’ll feel

That sorrows and pains just go to heal