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.
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
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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.
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