Answer: Length = 9 units
Explanation:
Let L represent the length of the rectangle.
The width of a rectangle is 2 units less than the length. It means that the width of the rectangle is (L - 2) units.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the rectangle is 63 units. It means that
L(L - 2) = 63
L² - 2L = 63
L² - 2L - 63 = 0
L² + 7L - 9L - 63 = 0
L(L + 7) - 9(L + 7) = 0
L - 9 = 0 or L + 7 = 0
L = 9 or L = - 7
Since the length cannot be negative, then
L = 9 units
Width = 9 - 2 = 7 units