A farmer wants to set aside a rectangular plot of land to contain 100 square meters. If the width is 23 more than the length, find the dimensions of the plot.
length=_____
width=_____
Printable View
A farmer wants to set aside a rectangular plot of land to contain 100 square meters. If the width is 23 more than the length, find the dimensions of the plot.
length=_____
width=_____
total land area = 100 sq.m
Let the length be x m
then the width will be x+23 m
Since the plot is rectangular , therefore area is given by length *width
=> x(x+23) = 100
=>x^2+23x = 100
=>x^2+23x-100 = 0
On solving this quadratic equation you will get x = -26.7 or x=3.7
rejecting the negative value (as length or width cannot be negative),
Length is 3.7 m
width is 3.7 +23 = 26.7 m which is approximately 100 m.
I appreciate your answer, but unfortunately it's wrong :/Quote:
Originally Posted by mrmaaza123
Ok, so the calculation may have gone wrong. Did you manage to get the answer with this approach? By the way what's the answer. :)
You were given approximations for the roots. Use the quadratic formula to get the exact value in question. The quadratic equation supplied by mrmaaza123 is correct.Quote:
Originally Posted by spyder12
This question was part of my online homework which was due today at 12pm--9 minutes ago--so now the question is closed and I can't access it anymore so I just left it blank. You're answer seemed correct maybe there's just a glitch on that question lolQuote:
Originally Posted by mrmaaza123
yeah I'm sure that was the problem I probably needed the exact answerQuote:
Originally Posted by MarkFL2