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 answer:

x =  28 cm

Step-by-step explanation:

k=40 cm m=16 cm  S=2k+m h  S1=2x h S1=2S 2x h=4k+m h 2 x h=(k+m) h x=(k+m)/2=(40+16)/2=28 cm

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