# A rectangular garden is designed such that the length of the garden is twice its breadth and the area of the garden is 800 m2. Find the length of the garden.

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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