A rectangle and two triangles. What’s the total area?

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## Solution

The total area is 30.

First, because all angles are the same, it is seen that the two triangles are similar. They have area proportion 9/4, so all lengths have proportion 3/2.

Now calling the base of the small triangle x, its height must be 8/x. Using the above proportionality, base and height of the large triangle can be found.

Finally, the rectangle area has area 3x/2*(8/x+12/x)=30.

## Visual solution

## Poem

In a frozen valley

Kids are playing

The snow is falling

Cold is still feeling

No sun

No wind

The air is quiet

A bird, mighty, is flying

The snowy owl

Quebec’s symbol

The winter queen

With it’s majestic wings

She is flying quietly,

Hovering peacefully