Trapezoid

Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm..

Final Answer:

S =  1116 cm2

Step-by-step explanation:

a=78 cm b=51 cm c=15 cm d=30 cm  x=ac=7815=63 cm  s=2x+b+d=263+51+30=72 cm  S1=s (sx) (sb) (sd)=72 (7263) (7251) (7230)=756 cm2  S1 = x h/2  h=2 S1/x=2 756/63=24 cm  S=2a+c h=278+15 24=1116=1116 cm2   Verifying Solution:   A=S1+a h=756+78 24=2628 cm2 A=S



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