SOLUTION: the rectangle has a perimeter (P) of 58 inches. the length (l) is one more than 3 times the width (w). Write and solve a system of linear equations to find the length and width of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the rectangle has a perimeter (P) of 58 inches. the length (l) is one more than 3 times the width (w). Write and solve a system of linear equations to find the length and width of       Log On


   

Question 178575: the rectangle has a perimeter (P) of 58 inches. the length (l) is one more than 3 times the width (w). Write and solve a system of linear equations to find the length and width of the rectangle. Show your work
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let the length of the rectangle be represented by

Let the length of the rectangle be represented by


Equation 1: Perimeter formula:

Equation 2: Sides relationship:

Substitute 58 for P and for into Equation 1.

Solve the result for

Substitute the value just discovered for into Equation 2 and solve for