Answer: The Width of the rectangle is 2 units
Step-by-step explanation: The rectangle is given as having length L and width, W.
If the width is equal to the length minus 4 units, then the width can be expressed as L- 4.
If the Area of the rectangle is given as 12 units, then
Area = L × W (Area of a rectangle)
12 = L × (L - 4)
12 = L² - 4L
Subtract 12 from both sides of the equation
0 = L² - 4L - 12
What we now have is a quadratic equation
By factorization, we now have
(L - 6) (L + 2) = 0
Therefore (L -6) = 0 or (L + 2) =0
L = 6, or L = -2
Knowing that the length cannot be a negative figure, L = 6 is the answer
If the width is given as the length minus 4 units, then
Width of the rectangle equals 6 - 4 = 2 units.