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 -> 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