Step-by-step explanation:

a.

length = 2x

width = x

2x(x) = 4.5

2x² = 4.5

2x² - 4.5 = 0

b.

extracting the roots of quadratic equation

c.

2x² - 4.5 = 0

2x² = 4.5

2x²/2 = 4.5/2

x² = 2.25

√x² = √2.25

x = 1.5 m

d.

length = 2(1.5) = 3 m

width = 1.5 m