The length of the rectangle that has an area of 24 units² is: 6 units.
What is the Area of a Rectangle?
The area of a rectangle is given as:
Area = length × width.
Given the parameters:
- Length of the rectangle = L units
- Width = L - 2 units
- Area of the rectangle = 24 units²
Substitute the values into the area formula for a rectangle:
24 = L × (L - 2)
24 = L² - 2L
L² - 2L - 24 = 0
Factorize the equation:
(L - 6)(L + 4) = 0
L = 6 or L = -4
The length cannot be negative, therefore:
Length of the rectangle = 6 units.
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