MO Z8–I–6 2018

In the KLMN trapeze, KL has a 40 cm base and an MN of 16 cm. Point P lies on the KL line so that the NP segment divides the trapezoid into two parts with the same area. Find the length of the KP line.

Correct result:

x =  28 cm


k=40 cm m=16 cm  S=k+m2 h  S1=x h2 S1=S2 x h2=k+m4 h 2 x h=(k+m) h x=(k+m)/2=(40+16)/2=28 cm

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