Is it possible to design a rectangular park of perimete

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=40L

Area = L×b=L(40L) = 40LL2=400

 =L240L+400
 =(L20)2

Therefore, length of park, L=20m
And breadth of park, b=40L=4020=20m.
Since the length = breadth, the park is in the shape of a square, which is also a rectangle.