Question 709969
Jim needs to fence in his rectangular backyard. the fence will have 1 long section away from, but parallel to, the length of his house and 2 shorter sides connecting that section to the house.
 the length of Jim's house is (3x+4)yd and the area of the backyard is (9x^2+15x+4)yd squared.
 how many yards of fencing will Jim need?
:
Divide that area by the length
{{{(9x^2+15x+4)/(3x+4)}}}
Factor the numerator, then cancel the (3x+4)'s 
{{{((3x+1)(3x+4))/(3x+4)}}} = 3x+1 is the width
:
Only 3 sides need to be fenced
f = (3x+4) + 2(3x+1)
f = 3x + 4 + 6x + 2
f = (9x + 6) yds of fence required