Q. 24.0( 4 Votes )

# The length of a r

Answer :

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

Length = Breadth + 1

x = y + 1 … (1)

Area of rectangle = Length × breadth    15 = 4(y2 + y)

15 = 4y2 + 4y

4y2 + 4y – 15 = 0

4y2 – 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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