The pleasure dome

A semicircle with three squares. The areas of the smaller squares are given. What is the area of the biggest one?

Scroll down for a solution to this problem.


The orange area is 289.

Solution by Jane Miller.


In Xanadu
There is a dome
Built for pleasure and
On the river banks
Down to the ocean
A sacred place with a satanic lover
It was Kubla Khan’s pleasure palace
With icy caves
And sunny places
This are the grounds of the Pleasure Dome
A savage enchanted place


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