The length of a rectangular hall is 5 m more than its breadth. If the area of the hall is 750 m2 then its length is

Given: Length of hall (l) = 5 + breadth(b) = 5 + b


Area of hall = 750 m2



We know that,


Area of rectangle = Length × Breadth


750 = (5 + b) × b


750 = b2 + 5b


b2 + 5b – 750 = 0


b2 + 30b – 25b – 750 = 0


b(b + 30) 25(b + 30) = 0


(b + 30) (b 25) = 0


This gives us two equations,


i. b + 30 = 0


b = -30


ii. b – 25 = 0


b = 25


Since, the length of the rectangle cannot be negative


Therefore, b = 25 m


l = (b + 5) m


l = (25 + 5) m


l = 30 m

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