Darren has a piece of wood that is 7 in by 8 in. Explain how he could divide this large rectangle into smaller rectangles

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.