SOLUTION: A fenced pasture has a central rectangular corral within it that measures 10m by 5m. The total area of the fenced pasture (outside the corral) is 1008 m². If the width of the

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Question 1177438: A fenced pasture has a central rectangular corral within it that measures 10m by 5m.
The total area of the fenced pasture (outside the corral) is 1008 m².
If the width of the pasture border on the long side is double the width of the pasture border on the short side, what is the width of the border?
Find the width of the pasture border on each side of the corral using factors.
Draw a labeled picture, use let statements and show your work.

Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

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Let x be the width on the sides
2x the width on the length
(50+2x)(10+4x) -50=1008
500 +200x +20x +8x^2-1058=0
8x^2 +220x -558
Solve for x we get x= 2.34 m
width along side = 2.34
width along length = 2x = 4.68 m
CHECK
total length =2.34 *2 =4.68 +50 = 54.68
total width =2.34 *4 = 9.36+10 = 19.36

(54.68)(19.36)-1008 = 50.6 m^2

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) The diagram used by the other tutor does not correctly show the given information.

(2) The problem implies the quadratic expression we get for the area of the pasture outside the corral is factorable, but it is not.

Therefore I am guessing that the statement of the problem is not correct.