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andreev551 [17]
3 years ago
7

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 a

n area of 200 by 300 meters, what is the value of x
Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Answer:

  100

Step-by-step explanation:

The original area is (200 m)×(300 m) = 60000 m². You want an area that is ...

  (200 +x)×(300 +x) = 120000

  60000 +500x +x² = 120000 . . . . eliminate parentheses

  x² +500x -60000 = 0 . . . . . . . . . . subtract 120000

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

The positive value of x that makes a factor zero is x = 100.

The value of x is 100.

_____

<em>Check</em>

The larger plot will be 300×400, the larger dimension being double the original smaller dimension.

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