What is the perimeter of trapezoid $ABCD$? [asy]
size(3inch, 1.5inch);
pair a=(0,0), b=(18,24), c=(68,24), d=(75,0), f=(68,0), e=(18,0);
draw(a--b--c--d--cycle);
draw(b--e);
draw(shift(0,2)*e--shift(2,2)*e--shift(2,0)*e);
label("30", (9,12), W);
label("50", (43,24), N);
label("25", (71.5, 12), E);
label("24", (18, 12), E);
label("$A$", a, SW);
label("$B$", b, N);
label("$C$", c, N);
label("$D$", d, SE);
label("$E$", e, S);
[/asy]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the perimeter of trapezoid $ABCD$? [asy]
size(3inch, 1.5inch);
pair a=(0,0), b=(18,24), c=(68,24), d=(75,0), f=(68,0), e=(18,0);
draw(a--b--c--d--cycle);
draw(b--e);
draw(shift(0,2)*e--shift(2,2)*e--shift(2,0)*e);
label("30", (9,12), W);
label("50", (43,24), N);
label("25", (71.5, 12), E);
label("24", (18, 12), E);
label("$A$", a, SW);
label("$B$", b, N);
label("$C$", c, N);
label("$D$", d, SE);
label("$E$", e, S);
[/asy]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
180
What is the perimeter of trapezoid $ABCD$? [asy]
size(3inch, 1.5inch);
pair a=(0,0), b=(18,24), c=(68,24), d=(75,0), f=(68,0), e=(18,0);
draw(a--b--c--d--cycle);
draw(b--e);
draw(shift(0,2)*e--shift(2,2)*e--shift(2,0)*e);
label("30", (9,12), W);
label("50", (43,24), N);
label("25", (71.5, 12), E);
label("24", (18, 12), E);
label("$A$", a, SW);
label("$B$", b, N);
label("$C$", c, N);
label("$D$", d, SE);
label("$E$", e, S);
[/asy]
train