Trapezoid

How long are the trapezoid bases with an area of 24 cm2 and a height of 3 cm? One base is three times longer than the shorter.

Correct answer:

a =  12 cm
c =  4 cm

Step-by-step explanation:

S=24 cm2 h=3 cm  (a+c)/2 h = S a = 3c  3c+c=2 S/h 3c+c=2 24/3  3 c+c=2 24/3  12c=48  c=1248=4  c=4  a=3 c=3 4=12=12 cm   Verifying Solution:   S2=2a+c h=212+4 3=24 cm2



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