Q3. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.
Let the breadth of mango grove be .
Then the length of mango grove will be .
And the area will be:
Which will be equal to according to question.
Comparing to get the values of .
Finding the discriminant value:
Therefore, the equation will have real roots.
And hence finding the dimensions:
As negative value is not possible, hence the value of breadth of mango grove will be 20m.
And the length of mango grove will be:
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