SOLUTION: The length of a rectangle is 7 inches more than three times the width. The perimeter is 86 inches. Find the length and width. l = ? inches w = ? inches

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The length of a rectangle is 7 inches more than three times the width. The perimeter is 86 inches. Find the length and width. l = ? inches w = ? inches      Log On


   

Question 417960: The length of a rectangle is 7 inches more than three times the width. The perimeter is 86 inches. Find the length and width.
l = ? inches
w = ? inches
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
assume, width = x inches
==> length = 3x + 7
perimeter p 86 inches

==> +86+=+2%28+3x%2B7+%2B+x%29
==> +86%2F2+=+2%28+3x%2B7+%2B+x%29%2F2
==> +43+=++3x%2B7+%2B+x+
==> +43+=+4x%2B7
==> +43-7+=+4x%2B7-7
==> +36+=+4x+
==> +36%2F4+=+4x%2F4+
==> +9+=+x+
==> width = 9 inches
==> length = 3(9) + 7 = 34 inches