document.write( "Question 1013718: We can arrange matches to make grid of squares 3 x 3 which requires 24 matches. How many matches are required to make a 304 x 385 grid of squares? \n" ); document.write( "

Algebra.Com's Answer #630060 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
In general, an m x n grid (m rows, n columns) requires n(m+1) + m(n+1) = 2mn + m + n matches (you can visualize this easily by drawing an mxn grid and counting matches along rows, columns).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore a 304 x 385 grid requires 2*304*385 + 304 + 385 = 234769 matches. \n" ); document.write( "

\n" );