Question 83
An equilateral triangle has the same perimeter as a rectangle with dimensions $b$ and $h$ (with $b \gt h$). The area of the triangle is $\sqrt{3}$ times the area of the rectangle. What is the value of $\frac{b}{h}$?
(A) $\sqrt{3}$
(B) 2
(C) $\frac{3+\sqrt{3}}{2}$
(D) $\frac{3+\sqrt{5}}{2}$
(E) $\frac{7+3 \sqrt{5}}{2}$.
(A) $\sqrt{3}$
(B) 2
(C) $\frac{3+\sqrt{3}}{2}$
(D) $\frac{3+\sqrt{5}}{2}$
(E) $\frac{7+3 \sqrt{5}}{2}$.