Trapezoid MO-5-Z8

Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm2. What is the area of the trapezoid KLMN?

Correct result:

S =  36 cm2

Solution:

a=12 c=4 S1=9 S1=c⋅ h/2 h=2⋅ S1/c=2⋅ 9/4=92=4.5 S=(a+c)⋅ h/2=(12+4)⋅ 4.5/2=36 cm2

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