SOLUTION: Can you please help me solve this equation i have been trying for the past 7 hours and it just dosent make any sense:
A rectangle is initially 6cm wide and 12cm long. If a st
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A rectangle is initially 6cm wide and 12cm long. If a st
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Question 80698: Can you please help me solve this equation i have been trying for the past 7 hours and it just dosent make any sense:
A rectangle is initially 6cm wide and 12cm long. If a strip of uniform width is added to the outside of each of the four sides, the resulting area is 160 square cm. Determine the width of the strip? Found 2 solutions by stanbon, josmiceli:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A rectangle is initially 6cm wide and 12cm long. If a strip of uniform width is added to the outside of each of the four sides, the resulting area is 160 square cm. Determine the width of the strip?
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Draw the picture of the rectangle.
Draw the stip bordering the rectangle but outside it.
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Let the width of the stip be "x" cm.
Area of the resulting rectangle including the border is:
(6+2x)(12+2x)= 160 sq cm.
4(3+x)(6+x)=160
[18+9x+x^2)= 40
x^2+9x-22=0
(x+11)(x-2)=0
Positive answer: x=2 cm
This is the width of the border.
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Checking: (6+2*2)(12+2*2)= 10*16=160
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Cheers,
Stan H.
You can put this solution on YOUR website! Call the width of the strip x
The new length of the rectangle will be because
there's a strip on both sides
The new width will be
Eith or Negative x is not allowed, so answer
check
OK
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