SOLUTION: 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 t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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 t      Log On


   

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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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
%289x%5E2%2B15x%2B4%29%2F%283x%2B4%29
Factor the numerator, then cancel the (3x+4)'s
%28%283x%2B1%29%283x%2B4%29%29%2F%283x%2B4%29 = 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