Mr. Carpenter sent his wife to the store to buy 200 square feet (A) of carpet, but he forgot to tell her the length (L) and width (W) of the carpet (A=L*W). How many different sizes of carpet can she get and still have 200 square feet of carpet?
What are the factors of 200?
1 and 200
2 and 100
Keep going . . .
1 and 100
To determine the different sizes of carpet Mrs. Carpenter can get, we need to find the possible combinations of length and width that will give a product of 200 square feet.
Let's start by listing the factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Now, we can pair up these factors to find the possible combinations. Remember, the length and width can be any of these factors, as long as their product equals 200 square feet.
Here are the different combinations:
1 x 200
2 x 100
4 x 50
5 x 40
8 x 25
10 x 20
So, Mrs. Carpenter can get 6 different sizes of carpet with an area of 200 square feet.