Acarpenter has two lengths of wood; one is 108cm long and the other is 72cm long. he wants to cut them up to produce smaller pieces of wood to build a shelving unit so they all need to be the same length, with no wood left over. what is the greatest length, in cm, that he can make the shelves?

36 centimeters.

Step-by-step explanation:

1. To solve this problem you must find the Greatest common factor.

2. List the prime factor of 108 and 72:

3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:

answer: the answer is 127 degrees

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b