Find area of trapezoid
Source: 0
February 11, 2008
geometrytrapezoidtrigonometryratioparallelogramAMCAIME
Problem Statement
In trapezoid with bases and , we have AB\equal{}52, BC\equal{}12, CD\equal{}39, and DA\equal{}5. The area of is[asy]
pair A,B,C,D;
A=(0,0);
B=(52,0);
C=(38,20);
D=(5,20);
dot(A);
dot(B);
dot(C);
dot(D);
draw(A--B--C--D--cycle);
label("",A,S);
label("",B,S);
label("",C,N);
label("",D,N);
label("52",(A+B)/2,S);
label("39",(C+D)/2,N);
label("12",(B+C)/2,E);
label("5",(D+A)/2,W);[/asy]