Midpoint Square

Geometry Level 1

The above shows a small square inscribed inside a large square such that all the vertices of the small square touch the midpoint of the larger square.

Which of the following has a larger area?

The small square (the shaded region), or the region outside the small square but inside the large square?

The small square (the shaded region) They have the same area The region outside the small square but inside the large square

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2 solutions

Áron Bán-Szabó
Aug 22, 2017

Hazard Sharp
Apr 16, 2016

Visualize folding the larger square's corners to the middle of the square. The folds would cover the area of the smaller square.

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