Do you mean 2 square feet? If so, than the dimensions must be 1 foot by 2 feet.
If you mean 2 feet squared, then the area is 4 square feet.
If you mean 2 feet squared, then the area is 4 square feet.
Let's assume the length of the rectangle is represented by the variable 'L' (in feet).
According to the problem, the width of the rectangle is 1 ft less than the length. Therefore, the width can be represented by 'L - 1' (in feet).
The area of a rectangle is given by the product of its length and width. In this case, the area is given as 2 ft^2. So, we can set up the following equation:
Length * Width = Area
Substituting the values, we get:
L * (L - 1) = 2
Now, let's solve this equation to find the value of 'L' (length).
Expanding the equation:
L^2 - L = 2
Rearranging the terms:
L^2 - L - 2 = 0
Now, we can solve the equation by factoring or using the quadratic formula. In this case, let's factor the equation:
(L - 2)(L + 1) = 0
Setting each factor equal to zero and solving for 'L', we get:
L - 2 = 0 --> L = 2
L + 1 = 0 --> L = -1 (discard this solution since length cannot be negative)
So, the length of the rectangle is 2 ft.
Now, to find the width, substitute the value of 'L' in the equation: Width = L - 1
Width = 2 - 1 = 1 ft.
Therefore, the length of the rectangle is 2 ft and the width is 1 ft.