Answer:
2 7x4 pieces
4 7x2 pieces
8 7x1 pieces
Step-by-step explanation:
In order to split the wood into different parts, you can find all possible factors of the two dimensions:
8: 1,2,4,8
7: Prime
Since 7 is a prime number, there are only 4 factors and one of the dimensions always has to be 7
The factors of 8 simply tell you what pieces you can split the wood into:
7x1
7x2
7x4
7x8
Since the wood was originally 7x8, we can take that option out. Now we are only left with 3 different dimensions. in order to find out how many of each piece we need, we can divide the original wood area by the piece area:
7x8=56
7x1=7 56/7=8
7x2=14 56/14=4
7x4=28 56/28=2
There for, you can have 8 7x1 pieces, 4 7x2 pieces, and 2 7x4 pieces.
