MO Z8–I–6 2018

The KLMN trapezium, 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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