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.
Deanne buys a new rectangular rug for her house. The rug has an area of 84 square feet.
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