Trapezoid

Calculate the area of trapezoid ABCD with sides |AB|= 50 cm, |BC|=25 cm, |CD|=10 cm, |AD|=25 cm..

Correct answer:

S =  450 cm2

Step-by-step explanation:

a=50 cm b=25 cm c=10 cm d=25 cm  x=ac=5010=40 cm  s=2x+b+d=240+25+25=45 cm  S1=s (sx) (sb) (sd)=45 (4540) (4525) (4525)=300 cm2  S1=x h/2  h=2 S1/x=2 300/40=15 cm  S=2a+c h=250+10 15=450=450 cm2   Verifying Solution:   A=S1+a h=300+50 15=1050 cm2 A=S



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