Problem of the Week
for Friday, March 5

 

Here is a grid of dots spaced one inch apart.
Is there a way to connect four of these dots to make a square whose area is thirteen square inches?

An anonymous solution:

A square with area 13 must have sides measuring the square root of 13.
To make this on a grid, we mus make a right triangle with a hypotenuse measuring the square root of 13 using A squared + B squared =C?
A squared + B squared =(the square root of 13) squared = 13
2 squared + 3 squared = 4 + 9 = 13
Then just fit the triangles

An amimated solution:

 

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