Question

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 ______.

Options

• 15 m

• 20 m

• 25 m

• 30 m

Answer 1

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 30 m.

Explanation:

Let the length be x metres.

Then, breadth = (x – 5) m.

∴ x(x – 5) = 750

⇒ x² – 5x – 750 = 0

⇒ (x – 30)(x + 25) = 0

⇒ x = 30   ...[∵ x ≠ –25] 

Hence, length = 30 m.