Question 1002096
Hi there,
Make the width = 'x'
Length = 3 + 2x
Area of rectangle = Length x width
27 = (3 + 2x)(x)
27 = 3x + 2x^2
2x^2 + 3x - 27 = 0
Factorise:
Using Quadratic formula:
{{{x = -b+-sqrt(b^2-4*a*c))/(2a)}}}
a = 2: b = 3: c = -27:
{{{x = (-3+-sqrt(3^2-4*2*-27))/(2*2)}}}
{{{x = (-3+-sqrt(225))/4}}}
[[[x = -3+sqrt(225))/4}}}  or  [[[x = -3-sqrt(225))/4}}}
x = 3 or -4.5(Discount as -ve)
So, Width = 3.0m
Length = 9.0m
Hope this helps :-)