SOLUTION: please help me solve this {{{ A rectangular field has an area of 10 square meters. If its length is one meter less than 3 times its width, what are its dimensions? }}}

Question 641486: please help me solve this
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A rectangular field has an area of 10 square meters. If its length is one meter less than 3 times its width, what are its dimensions?
--------------------
Let the width be "x"
Length is "3x-1".
--------
Equation:
width*length = 10 meters
x(3x-1) = 10
3x^2 - 3x - 10 = 0
x = [3 +- sqrt(9-4*3*-10)]/6
------
Positive solution:
x = [3 + sqrt(129)]/6
x = 2.39.. meters (width)
3x-1 = 6.18.. meters (length)
==============================
Cheers,
Stan H.
==================

RELATED QUESTIONS
the length of a rectangular field is 10 meters less than four times its width. It cost... (answered by nerdybill)

the length of a rectangular field is 10 meters less than four times its width. it cost... (answered by checkley77)

Hello, I really need help with this, if someone could help me please? The area of a... (answered by MathLover1)

Hello, I really need help with this, if someone could help me please? The area of a... (answered by Alan3354)

Please help me solve this..... The width of a rectangle is 6 meters less than its length. (answered by MathLover1)

Please help me solve this problem, One side of rectangle is 1 meter less than the length... (answered by ankor@dixie-net.com)

Please help me solve this question: the area of a rectangular field is 153 square yards.... (answered by josmiceli)

I'm not sure how to do this one. Can you please help me with it? The length of a... (answered by checkley71)

Please help me with this problem : The length of a rectangular lot is 14 meters less... (answered by ankor@dixie-net.com)