A square with a diagonal and a right angle. Two areas are given. How large is the pink area?

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## Solution

The area is 2.

First draw horizontal and vertical line segments through the intersection point as shown. From the 1 : 2 proportion of the given areas we infer the the lengths on the right.

Now from rotational symmetry we can find two similar triangles as shown and because their middle sides both equal 2a they are also congruent. The areas can now be filled in and because 3A=6 we find A=2.

## Poem

The colour of Spring

The air is warming

The birds are singing

Spring is coming

It’s winter sleep is ending

The tulips are growing

And we are planting

The air is changing

Pink, green, blue and yellow painting

The tulip is wondering

Why is the rose smelling ?