## Solve it Sunday: Problem in Glass

Hello my Little Einsteins, I hope you have your thinking caps on. Today’s puzzle is all about windows, which really doesn’t make a difference for a genius like you!

Imagine that you have a square window, five feet high, set in an opaque wall. That window lets in a certain amount of the available light outside. Simple.

It is possible to modify the window to precisely halve the amount of light that it lets in without changing the type of glass, placing a curtain, filter, or any other sort of obstruction over the window or between the window and the viewer — while still keeping the window square, and five feet high.

Not so simple. Can you say how?

## One thought on “Solve it Sunday: Problem in Glass”

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Change the window from an orthogonal square to a square diamond – so the five-foot measurement moves from the side-to-side distance to a tip-to-tip diagonal measurement. Then although the window is still 5ft high and wide, the side to side distance is just 3.535 feet, and its area is 12.5 sq ft, compared to the original 25 sq ft.

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