turkey-yks 2016 Q45

turkey-yks · Other · lys1-math Stationary points and optimisation Geometric or applied optimisation problem
In the rectangular coordinate plane, rectangles are drawn such that two vertices lie on the x-axis and the other two vertices lie on the parabola $y = 27 - x ^ { 2 }$, and the rectangles lie between this parabola and the x-axis.
Accordingly, what is the perimeter of the rectangle with the largest area?
A) 40
B) 42
C) 44
D) 46
E) 48 
In the rectangular coordinate plane, rectangles are drawn such that two vertices lie on the x-axis and the other two vertices lie on the parabola $y = 27 - x ^ { 2 }$, and the rectangles lie between this parabola and the x-axis.

Accordingly, what is the perimeter of the rectangle with the largest area?\\
A) 40\\
B) 42\\
C) 44\\
D) 46\\
E) 48
Paper Questions
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