# A rectangular gar

Let the breadth of garden be b

Thus length = 2b

Area of garden = 800 m2

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

Therefore length = 2 × 20 = 40

Therefore, length of the garden is 40 m

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