GoldenLeaf

If the legend is true, it's cursing my life too; I did not get accepted into Symphony, even when I posted a fabulous audition and got praised by the principal savant of the section!

Factor out 2000 into all of the possible numbers that can be multiplied together in order to get 2000.

1, 2, 4, 5, 8, 16, 25, 40, 50, 80, 125, 250, 400, 500, 1000, 2000

Remove all of those that aren't perfect squares.

4, 16, 400

4 = 2^2

16 = 4^2

400 = 20^2

I think we have a clear winner. 400 is your answer.

One property of a rhombus is that its opposite angles are the same. Thus,

cos(30.3) = b/67.7

67.7(cos(30.3)) = b

$${\mathtt{67.7}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{30.3}}^\circ\right)} = {\mathtt{58.451\: \!878\: \!776\: \!093\: \!9}}$$

58.45 cm is the length of segment AB. Rounded, that equals 58.5 cm, which is what CPhill got, the difference being I didn't get points .

As I couldn't have done it without some help from CPhill ^^

Fixed it up Mel ^^

Wrong @zegroes because there are still the Packers, the Chargers, the Seahawks, the Chiefs, and pretty much everybody else bar the Raiders and 49ers. Nobody can be worse than the Raiders.