Question

The length of a hall is 5m more than its breadth. If the area of the floor of the hall is 84m^2 , what are the length and breadth of the hall?

Answer 1

Solution:

It is given that length of a hall is 5m more than its breadth. If the area of the floor of the hall is 84m^2

Let Required breadth of the Rectangular hall be X

Area of Rectangle = Length × Breadth

84 m² = x(x+5)

84 = x² + 5x

x² +5x - 84 = 0

x² + 12x - 7x - 84 = 0

x(X+12)-7(X+12) = 0

(x-7)(x+12) = 0

X = 7 0r -12 ( Neglect)

Therefore, Length of Rectangle and Breadth are 12 and 7 respectively.

Answer 2

Answer:-

Step-by-step explanation:

Given:-

length of a hall is 5m more than its breadth. If the area of the floor of the hall is 84 m²

Solution:-

Let the Breadth of a hall be x cm

Let the Length of a hall be x + 5 cm

Area of Rectangle = L × B

Area of Rectangle = 84

⇒ L × B = 84

⇒ (x + 5) (x) = 84

⇒ x² + 5x = 84

⇒ x² + 5x - 84 = 0

Using Middle Term Factor.

⇒ x² + 5x - 84 = 0

⇒ x² + 12x - 7x - 84 = 0

⇒ x(x + 12) -7(x + 12) = 0

⇒ (x - 7) (x + 12) = 0

⇒ x - 7 = 0

⇒ x = 7

⇒ x + 12 = 0

⇒ x = -12 ( Not Possible )

Hence, the length and breadth of the hall are 7 cm and 12 cm.