Q5. Is it possible to design a rectangular park of perimeter 80 m and area 400 m2? If so, find its length and breadth.
Let us assume the length and breadth of the park be respectively.
Then, the perimeter will be
The area of the park is:
Comparing to get the values of a, b and c.
The value of the discriminant
Therefore, this equation will have two equal roots.
And hence the roots will be:
Therefore, the length of the park,
and breadth of the park .
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