SOLUTION: A concrete driveway has a perimeter of 280 feet. The length of the driveway is 20 feet more than 4 times its width. Find the length and width of the driveway by writing two equati

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A concrete driveway has a perimeter of 280 feet. The length of the driveway is 20 feet more than 4 times its width. Find the length and width of the driveway by writing two equati      Log On


   

Question 138095: A concrete driveway has a perimeter of 280 feet. The length of the driveway is 20 feet more than 4 times its width. Find the length and width of the driveway by writing two equations with two variables, and solving the equations by either the addition method or the substitution method.
I am having a hard time solving this can some one please help
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
LENGTH=4W+20
WIDTH=W
2L+2W=280
2(4W+20)+2W=280
8W+40+2W=280
10W=280-40
10W=240
W=240/10
W=24 ANSWER FOR THE WIDTH.
L=4*24+20
L=96+20=116 ANSWER FOR THE LENGTH.
PROOF
2*24+2*116=280
48+232=280
280=280