The length of a hall is 5 m more than its breath. If the area of the f

1.	The length of a hall is 5 m more than its breath. If the area of the floor of the hall is 84 m2, what are the length and the breadth of the hall ?
Answer» Let the breadth of the hall be x metres. Then the length of the ball is (x + 5) metres. The area of the floor = x(x + 5) m² Therefore, x(x + 5) = 84 or x² + 5x - 84 = 0 or (x + 12) (x - 7) = 0 This given x = 7 or x = - 12. Since, the breadth of the hall cannot be negative, we reject x = - 12 and take x = - only. Thus, breadth of the hall = 7 metres, and length of the hall = (7 + 5), i.e., 12 metres.

The length of a hall is 5 m more than its breath. If the area of the floor of the hall is 84 m2, what are the length and the breadth of the hall ?

Answer»

Let the breadth of the hall be x metres.

Then the length of the ball is (x + 5) metres.

The area of the floor = x(x + 5) m²

Therefore, x(x + 5) = 84 or x² + 5x - 84 = 0

or (x + 12) (x - 7) = 0 This given x = 7 or x = - 12.

Since, the breadth of the hall cannot be negative, we reject x = - 12 and take x = - only.

Thus, breadth of the hall = 7 metres, and length of the hall = (7 + 5), i.e., 12 metres.