A point source is fixed \(1.0 \mathrm{~m}\) away from a large screen. Call the line normal to the screen surface and passing through the center of the point source the \(z\) axis. When a sheet of cardboard in which a square hole \(0.040 \mathrm{~m}\) on a side has been cut is placed between the point source and the screen, \(0.50 \mathrm{~m}\) from the point source with the hole centered on the \(z\) axis, a bright square shows up on the screen. If, instead, a second sheet of cardboard with a similar square hole is placed between the point source and screen, \(0.25 \mathrm{~m}\) from the point source with the hole centered on the \(z\) axis, the bright square it casts on the screen is identical to the bright square from the first sheet. What are the dimensions of the hole in this sheet?