# Visualization for “Cutting off a Corner of a 2-meter Square”

Corner of a 2 meter square is cut off to form a regular octagon. Determine the length of the resulting side of the octagon?

I need help visualizing this; if you cut off a corner of a 2m square; then shouldn't all the sides of the octagon be 2m?

• It is all four corners, slice off an isosceles right triangle at each corner. – André Nicolas Jul 13 '15 at 9:17

To solve the problem, note that if the side of the octagon is $x$ then the side of the square is
$$\frac{\sqrt 2}{2}x+x+\frac{\sqrt 2}{2}x$$
Set that equal to $2$ and solve for $x$.