Answer:
length = 12 cm; width = 10 cm
Step-by-step explanation:
Let the width = x.
Let the length = y.
xy = 120
y = 2x - 8
Substitute 2x - 8 for y in the first equation.
x(2x - 8) = 120
2x² - 8x - 120 = 0
Divide both sides by 2.
x² - 4x - 60 = 0
Factor the trinomial.
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
Since x is the width, it cannot be a negative number, s discard the solution x = -6.
width = x = 10
length = 2x - 8 = 2(10) - 8 = 20 - 8 = 12
Answer: length = 12 cm; width = 10 cm
