The length of the playground is 10 m long than its width. The engineer estimated the land area is between 900 m to 1200 m. Give the possible dimensions of the playground.

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Alexandria Rubio · Accepted Answer

Let &#039;x&#039; be the width and &#039;x+10&#039; be the length of the playground. Given that area is between 900sq.m and 1200sq.m.Area   =  x  (  x  +  10  )  =      x    2    +  10  x        x    2    +  10  x  ≥  900   or       x    2    +  10  x  ≤  1200        x    2    +  10  x  −  900  ≥  0   or       x    2    +  10  x  −  1200  ≤  0By applying quadratic formula we get,  x  =            (      −      10      ±              100        +        3600            )        2     or   x  =            (      −      10      ±              100        +        4800            )        2      x  =  25.41  ;     −  35.41   or   x  =  30  ;  −  40Since length cannot be negative,x=25.41. Or. x=30If x=25.41 then,Width,x =25.41 m and length,(x+10)= 35.41 mIf x=30 then,Width= 30m and length= 40m

The length of the playground is 10 m long than its width. The engineer estimated the land area is between 900 m to 1200 m. Give the possible dimensions of the playground.

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