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Quadratic Equations

Question 5:

Is it possible to design a rectangular park of perimeter 80 and area 400 m2? If so find its length and breadth.

Answer:

Let the length and breadth of the park be l and b.

Perimeter = 2 (l + b) = 80

l + b = 40

Or, b = 40 − l

Area = l × b = l (40 − l) = 40l l2

40l l2 = 400

l2 − 40l + 400 = 0

Comparing ...

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