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A plot of land doubles in size by adding x meters to the length and x meters to the width of the land. If the original plot had an area of 200 by 300 meters, what is the value of x?

Guest Apr 30, 2017
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 #1
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original area = a

a = 200 * 300

2a = (200 + x) * (300 + x)

 

Substitute in the value we know for a.

2(200 * 300) = (200 + x) * (300 + x)

 

Solve for x.

120,000 = 60,000 + 500x + x2

 

60,000 = 500x + x2

 

0 = x2 + 500x - 60,000

 

0 = (x - 100)(x + 600)

 

x = 100     or     x = -600

 

Since the question says we are adding length, x must = 100

hectictar  Apr 30, 2017
 #2
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+1

Thank you!

Guest Apr 30, 2017

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