SOLUTION: the perimeter of a rectangle is 112 cm. the length is 6 cm greater than 4 times the width. find the length and width of the rectangle.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the perimeter of a rectangle is 112 cm. the length is 6 cm greater than 4 times the width. find the length and width of the rectangle.      Log On


   

Question 936324: the perimeter of a rectangle is 112 cm. the length is 6 cm greater than 4 times the width. find the length and width of the rectangle.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = length
y = width
---
2x + 2y = 112
x = 4y + 6
---
put the system of linear equations into standard form
---
2x + 2y = 112
x - 4y = 6
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = length = 46 cm
y = width = 10 cm
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---