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 Fill in the blank(...)

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 Fill in the blank(...)      Log On


   

Question 415876: 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
Fill in the blank(...)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (3x+7in) represent the width and length respectively

Question states***

  2(3x+7in) + 2x = 86in

Solving for x

   8x = 72

    x = 9in, the width.  The length is 34in   (27in+7in)

CHECKING our Answer***

 2*34in + 2*9in = 68in + 18in = 86in