∵ trapezoid ABCD is an isosceles trapezoid.
∴CE=(BC-AD)/2=3, then DE=√(CD? -CE? )=4.
Therefore: s trapezoid ABCD = (ad+BC) * de/2 = (6+12) * 4/2 = 36.
(2) If the intersection D is DF∨AB and BC is in F, BF = AD = 6 and CF = BC-BF = 6.
At t seconds, PD=t, CP = CD-PD = 5-t; ? CQ=2t。
∫PQ∨AB,DF∨AB。
∴pq∑df, CP/CD = CQ/CF, (5-t)/5 = (2t)/6, t = 15/8 (seconds);
③ When pq ⊥ QC and DE⊥EC, PQ is parallel to DE.
∴ CP/CD = CQ/CE, (5-t)/5 = (2t)/3, t = 15/ 13 (seconds);
When PQ ⊥ CD: ≈ QPC = ∠ DEC = 90; ∠C=∠C。
∴⊿ QPC ∽⊿ DEC, CP/CE = CQ/CD, (5-t)/3 = (2t)/5, t = 25/ 1 1 (seconds).
To sum up, when the three points P, Q, C Q and C form a right triangle, the point P leaves the point D 15/ 13 seconds or 25/ 1 1 second. ?