The length of a rectangular dining hall is twice of its breadth. If x

1.	The length of a rectangular dining hall is twice of its breadth. If x represents the breadth of the hall and its area is 5 sq. units, then the polynomial equation which represents the situation is A) 5x2 – 2 = 0 B) 2x2 – 5 = 0 C) x2 – 25 = 0 D) None
Answer» Correct option is (B) 2x² – 5 = 0 Let breadth of rectangular dining hall be x unit. Then length of rectangular dining hall = 2x unit. \(\therefore\) Area of rectangular dining hall \(=lb=2x^2\) sq. units \(\therefore\) \(2x^2\) = 5 (Given area = 5 sq. units) \(\Rightarrow\) \(2x^2\) - 5 = 0 _______(1) Equation (1) is the polynomial equation which represents the situation. Correct option is B) 2x² – 5 = 0

The length of a rectangular dining hall is twice of its breadth. If x represents the breadth of the hall and its area is 5 sq. units, then the polynomial equation which represents the situation is A) 5x2 – 2 = 0 B) 2x2 – 5 = 0 C) x2 – 25 = 0 D) None

Answer»

Correct option is (B) 2x² – 5 = 0

Let breadth of rectangular dining hall be x unit.

Then length of rectangular dining hall = 2x unit.

\(\therefore\) Area of rectangular dining hall \(=lb=2x^2\) sq. units

\(\therefore\) \(2x^2\) = 5 (Given area = 5 sq. units)

\(\Rightarrow\) \(2x^2\) - 5 = 0 _______(1)

Equation (1) is the polynomial equation which represents the situation.

Correct option is B) 2x² – 5 = 0