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 20

Question

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

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Alexandra 2 months 2021-10-09T02:49:14+00:00 1 Answer 0 views 0

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    2021-10-09T02:50:45+00:00

    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.

    _____

    Check

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

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