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Solve mathematics, solve problems
Suppose there are m vertical rows and n horizontal rows after crisscross arrangement, and the width of the brick is x cm. Judging from the meaning of the question, m, n and x are all positive integers.

(m+n)(x+8)=700

mx+n(x+8)=556

The solution is m= 18.

The equation can be converted into

( 18+n)(x+8)=700

According to the meaning of the question, |m-n|≤ 1 means that the possible values of n are 17, 18, 19, and the possible values of m+n are 35, 36 and 37.

Because x+8 is a positive integer, only 35 of the three numbers can be divisible by 700, so take M+N=35 and N= 17 and substitute them into the above formula to solve the problem.

x= 12

x+8=20

The length and width of each brick are 20cm and 12cm respectively.