The length of a rectangular hall is 5, m more | vedclass

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(D) Let the breadth of the hall be $x$ metres.Then,the length of the hall is $(x + 5)$ metres.The area of the rectangular hall is given by $	ext{leng

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$30$

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(D) Let the breadth of the hall be $x$ metres.Then,the length of the hall is $(x + 5)$ metres.The area of the rectangular hall is given by $	ext{length} 	imes 	ext{breadth} = 750\, m^{2}$.So,$x(x + 5) = 750$.$x^{2} + 5x - 750 = 0$.Factoring the quadratic equation: $x^{2} + 30x - 25x - 750 = 0$.$x(x + 30) - 25(x + 30) = 0$.$(x - 25)(x + 30) = 0$.Since the breadth cannot be negative,$x = 25$.Therefore,the length of the hall is $x + 5 = 25 + 5 = 30\, m$.

The length of a rectangular hall is $5\, m$ more than its breadth. The area of the hall is $750\, m^{2}$. The length of the hall is.........$m$

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