Engineering Board Exam Reviewer · Quadratic Equations · medium
A rectangular garden has a perimeter of 60 m and an area of 216 m2. Find the length of its longer side.
- 12 m
- 24 m
- 18 m
- 14 m
Answer
C. 18 m
Solution
The sides satisfy x+y=30 and xy=216, so they are the roots of t2-30t+216=0, i.e. (t-12)(t-18)=0. The longer side is 18 m.
More Quadratic Equations questions
- Solve x4-13x2+36=0.
- Find the quadratic equation whose roots are 23 and - 34.
- For what values of k does x2+kx+16=0 have equal roots?
- If and are the roots of 3x2-7x+2=0, find 2+ 2.
- Find the discriminant of 2x2-3x+5=0.
- Solve x2-5x-14=0.
- Find the sum of all real solutions of sqrt(2x-1)-sqrt(x-1)=1.
- If one root of ax2+bx+c=0 is twice the other, which relation among the coefficients must hold?
- A ball is thrown upward and its height is h=40t-5t2 meters after t seconds. At what time is it 60 m high while coming down?