2 7x4 pieces
4 7x2 pieces
8 7x1 pieces
In order to split the wood into different parts, you can find all possible factors of the two dimensions:
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:
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:
There for, you can have 8 7x1 pieces, 4 7x2 pieces, and 2 7x4 pieces.
7 inches by 4 inches each.
We have been given that Darren has a piece of wood that has 7 inches by 8 inches. We are asked to explain how he could divide this large rectangles into two smaller rectangles.
Let us assume that the width of large rectangle is 8 inches and length is 7 inches.
To divide large rectangle into two smaller rectangles, Darren should take length of smaller rectangle 7 inches and make two rectangles of 4 inches wide each.
Therefore, Darren can cut larger rectangle such that each of two smaller rectangles are 7 inches long and 4 inches wide.