Question

The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 sq.m. The length of the hall is​

Answer 1

Answer:

Let the Breadth be n and Length be (n + 5).

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• According to the Question :

⇒ Area of Rectangular Hall = 750

⇒ Length × Breadth = 750

⇒ (n + 5) × n = 750

⇒ n² + 5n = 750

⇒ n² + 5n - 750 = 0

⇒ n² + (30 - 25)n - 750 = 0

⇒ n² + 30n - 25n - 750 = 0

⇒ n(n + 30) - 25(n + 30) = 0

⇒ (n - 25)(n + 30) = 0

⇒ n = 25 m ⠀or, ⠀n = - 30

⠀

• The Length of Hall :

⇒ Length = (n + 5)

⇒ Length = (25 + 5)

⇒ Length = 30 metres

⠀

∴ The Length of Hall is 30 metres.

Answer 2

$\bf\huge\ Question:-$

The length of a rectangular hall is 5m more than its breadth. The area of the hall is 750 sq.m. The length of the hall is?

$\bf\huge\ Answer:-$

⇒ Area of Rectangular Hall = 750

⇒ Length × Breadth = 750

⇒ (n + 5) × n = 750

⇒ n² + 5n = 750

⇒ n² + 5n - 750 = 0

⇒ n² + (30 - 25)n - 750 = 0

⇒ n² + 30n - 25n - 750 = 0

⇒ n(n + 30) - 25(n + 30) = 0

⇒ (n - 25)(n + 30) = 0

⇒ n = 25 m ⠀or, ⠀n = - 30

⠀

• The Length of Hall :

⇒ Length = (n + 5)

⇒ Length = (25 + 5)

⇒ Length = 30 metres

⠀

∴ The Length of Hall is 30 metres.