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Question -

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



Answer -

Perimeter of rectangular park = 80 m
Length + Breadth = 80/2 = 40 m
Let length = x m
Them breadth = 40 – x
According to the condition,
Area = Length x Breadth
x (40 – x) = 400
=> 40x – x² = 400
=> x² – 40x + 400 = 0
=> (x – 20)² = 0
=> x – 20 = 0
=> x = 20
Yes, it is possible
Length = 20 m
and breadth = 40 – x = 40 – 20 = 20 m

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