SOLUTION: Hi, I am having a REALLY hard time with word problems right now. Could someone PLEASE help me with this problem? Help would be greatly appreciated, thanks! Here is the problem: A G

Question 23506: Hi, I am having a REALLY hard time with word problems right now. Could someone PLEASE help me with this problem? Help would be greatly appreciated, thanks! Here is the problem: A Garden plot 4 m by 12 m has one side along a fence as shown at the right. The area of the garden is to be doubled by digging a border of uniform width on the other three sides. What should the width of the border be?
Please HELP me??? Thank you so much!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Draw the picture of the original garden with
width = 4 and length = 12
Draw a uniform border around three sides having
a uniform width of "x".
The new width is now 4+x; the new length is now 12 + 2x
The new area is (4+x)(12+2x) = 96
48+20x+2x^2 = 96
2x^2+20x-48=0
x^2+10x-24=0
(x+12)(x-2)=0
Therefore x=2 meters is the uniform width of the border.
Cheers,
Stan H.
RELATED QUESTIONS
Hi....I am having a really hard time with word problems. I am not sure how to make this... (answered by scott8148)

Solve the equation by completing the square: x^2 + 8x = 14 can someone help me please... (answered by josmiceli)

Hi....I am having a really hard time with word problems. I am not sure how to make this... (answered by midwood_trail)

Hi. I'm having a really hard time with inequalities. Would someone please help? 0.5x+5 (answered by stanbon)

Hi, I am really having a hard time analyzing this one, I hope someone could help me on... (answered by Earlsdon,venugopalramana)

iam Currently In The 9th Grade And Im Having A Really Hard Time With Algebra It Would Be... (answered by lynnlo)

Simplify. {{{sqrt(12)/sqrt(3)}}} I am having a really hard time with this problem and... (answered by chitra)

I am having a difficult time with this problem. Could someone please help me? If... (answered by Fombitz)

I am having a hard time with this problem: 4 1/8 - 1 3/4 If you could help, that would... (answered by ivy12003)