Is it possible to design a rectangular park of perimete
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Is it possible to design a rectangular park of perimeter 80m and area 400m2? If so, find its length and breadth.
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Right Answer is:
SOLUTION
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=400
=L2−40L+400
=(L−20)2
Therefore, length of park, L=20m
And breadth of park, b=40−L=40−20=20m.
Since the length = breadth, the park is in the shape of a square, which is also a rectangle.