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Shadow theory fitness
(I) GH ⊥ ef, h in vertical feet,

Because DN=x, NH=40-x, NA=60-x,

Because NHHG=NAAM,

So 40? x 10=60? XAM, so am = 600? 10x40? x,

Pass m as MT∨BC, hand in CD at t, and then

SMBCDW=SMBCT+SMTDN=(40? AM)×60+ 12(x+60)×AM,

So y = (40? 600? 10x40? x)×60+ 12×(x+60)(600? 10x)40? x=2400? 5(60? x)240? x,

Since AM=AF=30 is suitable for the condition when n and f coincide, x ∈ (0 0,30),

(ⅱ)y = 2400? 5(60? x)240? x=2400? 5[(40? x)+40040? x+40],

What about when and only when you are 40? x=40040? When x, that is, x = 20 ∈ (0 0,30), y gets the maximum value of 2000.

Answer: When DN=20m, the public fitness square has the largest area, with the largest area of 2000m2. ..