SOLUTION: The perimeter of a quadrilateral is 59 inches. The longest side is four times as long as the shortest side. The other two sides are equally long and are five inches longer than the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The perimeter of a quadrilateral is 59 inches. The longest side is four times as long as the shortest side. The other two sides are equally long and are five inches longer than the      Log On


   

Question 1051170: The perimeter of a quadrilateral is 59 inches. The longest side is four times as long as the shortest side. The other two sides are equally long and are five inches longer than the shortest side. Find the length of all four sides.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2BC%2BD=59
D=4A
B=C=A%2B5
Substituting into the first equation,
A%2B%28A%2B5%29%2B%28A%2B5%29%2B4A=59
7A%2B10=59
7A=49
A=7
So then,
B=C=7%2B5=12
D=4%287%29=28