Deanne buys a new rectangular rug for her house. The rug has an area of 84 square feet.
We can find the dimensions of the rug (length and width) by using the formula for the area of a rectangle:
area = length x width
Substituting the given area of 84 square feet, we get:
84 = length x width
Now we need to find two numbers that multiply to 84. We can start by listing the factor pairs of 84:
1 x 84
2 x 42
3 x 28
4 x 21
6 x 14
7 x 12
Out of these pairs, only one has whole number dimensions: 7 x 12. So we can conclude that the rug has dimensions of 7 feet by 12 feet.