Home › UP Board Class 10 › Mathematics › Quadratic Equations › A rectangular plot has its length 3 m more than …
A rectangular plot has its length 3 m more than its width, and its area is 54 m². Find its width.
A6 m
B8 m
C7 m
D9 m
Answer & Solution
Correct answer: A. 6 m
Let width = x. Then x(x + 3) = 54 ⇒ x² + 3x − 54 = 0. Factor: (x + 9)(x − 6) = 0. Reject negative root. Width = 6 m.
Related questions
The study of inequalities is described as useful in solving problems in science and:A firm needing at least 6 units and at most 10 would write that as a:Which sign makes a statement an inequality rather than an equation?Unless stated otherwise, inequalities in that chapter are solved over the set of:The set of all values of the variable that make an inequality true is called its:Solving 4x plus 3 less than 6x plus 7 gives:When x is a real number in that inequality, the solution set is written as:When x is an integer in that inequality, the largest solution is: