Answer :

Let the breadth of garden be b


Thus length = 2b


Area of garden = 800 m2


Area = length × breadth


800 = 2b × b


800 = 2b2



b2 = 400


b2 = 202


b2 – 202 = 0


Using identity (a + b)(a – b) = a2 – b2


(b + 20)(b – 20) = 0


(b + 20) = 0 or (b – 20) = 0


Therefore b = 20 and not – 20 because b cannot be negative as b is breadth of rectangle and length or breadth cannot be negative


Breadth = 20


Therefore length = 2 × 20 = 40


Therefore, length of the garden is 40 m


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