Answer:
Width = 16 cm
Length = 12 cm
Step-by-step explanation:
Let the width of the rectangle be represented as x
Width = x cm
Length = (x - 4) cm
Area = L*W = 192 cm²
Thus:
x * (x - 4) = 192
x² - 4x = 192
x² - 4x - 192 = 0
Factorize
x² - 16x + 12x - 192
x(x - 16) +12(x - 16)
(x - 16)(x + 12)
x = 16 or x = -12
Width cannot be a negative number, therefore, the width of the rectangle = x = 16 cm
Width = x = 16 cm
Length = (x - 4) cm = (16 - 4) = 12 cm
