Write a MATLAB function called

$[$r$,$crossings$]=$ BuffonSquaresRootTwo$($width$,$length,throws$)$

where r $=$ the estimate of $$

$2$; crossings $=$ the number of cracks $($between floorboards$)$ that cross two consecutive sides of a square.

BuffonSquaresRootTwo is a modified version of BuffonSquaresPi which drops squares to estimate $$

$2$ rather than $\backslash$pi $.$ Use the formula developed

in: $$Statistical estimation of some irrational numbers using an extension of Buffon$$s needle experiment$,$ S$.$ Velasco, F$.$L$.$ Rom$$an$,$ A$.$ Gonz$$alez$,$

J$.$A$.$ White, International Journal of Mathematical Education in Science and Technology, vol. $37,$ no$.6,$ pp$.735-740,2006.$