SOLUTION: The area of a rectangle is 27 square meters. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The area of a rectangle is 27 square meters. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest      Log On


   

Question 1118600: The area of a rectangle is 27 square meters. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.












Found 3 solutions by josgarithmetic, ikleyn, t0hierry:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28wL=27%2CL=3w-6%29
Simply substitute and solve.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

To the person who did submit this post: 

    In the future, PLEASE, do not make so much empty space in your post.


    It really irritates.


Thanks.



Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is 27 square meters.
Lw = 27
If the length is 6 meters less than 3 times the width,
L+=+-6+%2B+3w+
Lw+=+%283w-6%29w+=+27+
w%28w-2%29+=+9+
w%5E2+-+2w+-+9+=+0+
w+=+1+%2B+sqrt%281+%2B9%29+=+sqrt%2810%29+%2B+1+=+4.16
L+=+12.48+-+6+=+6.48+
check: Lw = 26.95 if you don't round up you get 27