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MATH / In trapezoid ABCD with bases (AB)¯ and (CD)¯, we have AB=52, BC=12, CD=39, and DA=5. What is the area of ABCD? [asy] pair A,B,C,D; A=(0,0); B=(4,0); C=(3.3,1); D=(0.3,1); label("A"…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In trapezoid ABCDABCD with bases AB¯\overline{AB} and CD¯\overline{CD}, we have AB=52AB = 52, BC=12BC = 12, CD=39CD = 39, and DA=5DA = 5. What is the area of ABCDABCD? [asy] pair A,B,C,D; A=(0,0); B=(4,0); C=(3.3,1); D=(0.3,1); label("AA",A,S); label("BB",B,S); label("CC",C,N); label("DD",D,N); label("52",(2,0),S); label("39",(1.8,1),N); label("5",(0.15,0.5),W); label("12",(3.65,0.5),E); draw(A--B--C--D--cycle); [/asy]
Plain-text mathematical notation (without MathML)
In trapezoid ABCD with bases (AB)¯ and   (CD)¯, we have AB=52, BC=12, CD=39, and DA=5. What is the area of ABCD?

[asy]
pair A,B,C,D;
A=(0,0);
B=(4,0);
C=(3.3,1);
D=(0.3,1);
label("A",A,S);
label("B",B,S);
label("C",C,N);
label("D",D,N);
label("52",(2,0),S);
label("39",(1.8,1),N);
label("5",(0.15,0.5),W);
label("12",(3.65,0.5),E);
draw(A--B--C--D--cycle);
[/asy]
Original LaTeX notation
In trapezoid $ABCD$ with bases $\overline{AB}$ and   $\overline{CD}$, we have $AB = 52$, $BC = 12$, $CD = 39$, and $DA = 5$. What is the area of $ABCD$?

[asy]
pair A,B,C,D;
A=(0,0);
B=(4,0);
C=(3.3,1);
D=(0.3,1);
label("$A$",A,S);
label("$B$",B,S);
label("$C$",C,N);
label("$D$",D,N);
label("52",(2,0),S);
label("39",(1.8,1),N);
label("5",(0.15,0.5),W);
label("12",(3.65,0.5),E);
draw(A--B--C--D--cycle);
[/asy]

level

Level 5

type

Geometry

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Source and history

task_id
a3936e74-56e3-5e00-a9ea-dcff36aa196d
task_key
geometry--test--a3936e74-56e3-5e00-a9ea-dcff36aa196d
task_revision_id
1
config / split
geometry / test

Official source

initial import