Answer :

Let the length be ‘x’ and breadth be ‘y’.

Length = Breadth + 1

⇒ x = y + 1 … (1)

Area of rectangle = Length × breadth

⇒

⇒

⇒

⇒ 15 = 4(y^{2} + y)

⇒ 15 = 4y^{2} + 4y

⇒ 4y^{2} + 4y – 15 = 0

⇒ 4y^{2} – 6y + 10y – 15 = 0

⇒ 2y (2y – 3) + 5(2y – 3) = 0

⇒ (2y – 3) (2y + 5) = 0

2y – 3 = 0 or 2y + 5 = 0

Hence, side of a rectangle cannot be negative. Therefore,

Put in equation (1)

⇒

⇒

⇒

∴ The length is metre and breadth are metre.

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