Problema Solution
A rectanglar patio has a length f(x) feet and width g(x) feet where
f(x)=5x-3 and g(x)=x-2
(a) the patio's area is 34 square feet . What is the value of x ?
(b) if the patio's perimeter were 74 feet , what would be the value of x?
Answer provided by our tutors
34=f(x)g(x)
34=(5x-3)(x-2)
34=5x^2-13x+6
0=5x^2-13x-28
0=(5x+7)(x-4)
5x+7=0. X-4=0
X=4
Part 2
74=2(5x-3) + 2(x-2)
74=10x-6+2x-4
74=12x-10
84=12x
7=x