SOLUTION: 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?

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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?
Answer by richard1234(7193) About Me  (Show Source):
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).

Therefore a 304 x 385 grid requires 2*304*385 + 304 + 385 = 234769 matches.