Question

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 1

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.

Answer 2

Correct option is B) 2x² – 5 = 0