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=_____

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- Sep 21st 2012, 10:13 PMspyder12Fencing Question. Help me find the length & width
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=_____ - Sep 21st 2012, 10:37 PMmrmaaza123Re: Fencing Question. Help me find the 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. - Sep 22nd 2012, 07:46 AMspyder12Re: Fencing Question. Help me find the length & width
- Sep 22nd 2012, 08:31 AMmrmaaza123Re: Fencing Question. Help me find the length & width
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. :)

- Sep 22nd 2012, 08:42 AMMarkFLRe: Fencing Question. Help me find the length & width
- Sep 22nd 2012, 09:08 AMspyder12Re: Fencing Question. Help me find the length & width
- Sep 22nd 2012, 09:11 AMspyder12Re: Fencing Question. Help me find the length & width