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MATH / What is the area in square units of the quadrilateral XYZW shown below? [asy]

Problem

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

problem

What is the area in square units of the quadrilateral XYZW shown below? [asy] size(200); defaultpen(linewidth(0.8)); pair X = (0,0), Y = 96*dir(45), Z = (Y.x + 32, Y.y), W = (Z.x,Z.y - 24); draw(X--Y--Z--W--cycle); draw(rightanglemark(Y,Z,W,100)); label("XX",X,SW); label("YY",Y,NW); label("ZZ",Z,NE); label("WW",W,SE); label("96",X--Y,NW); label("104",X--W,SE); label("24",Z--W,E); label("32",Y--Z,N); [/asy]
Plain-text mathematical notation (without MathML)
What is the area in square units of the quadrilateral XYZW shown below? [asy]
size(200); defaultpen(linewidth(0.8));
pair X = (0,0), Y = 96*dir(45), Z = (Y.x + 32, Y.y), W = (Z.x,Z.y - 24);
draw(X--Y--Z--W--cycle);
draw(rightanglemark(Y,Z,W,100));
label("X",X,SW); label("Y",Y,NW); label("Z",Z,NE); label("W",W,SE); label("96",X--Y,NW); label("104",X--W,SE); label("24",Z--W,E); label("32",Y--Z,N);
[/asy]
Original LaTeX notation
What is the area in square units of the quadrilateral XYZW shown below? [asy]
size(200); defaultpen(linewidth(0.8));
pair X = (0,0), Y = 96*dir(45), Z = (Y.x + 32, Y.y), W = (Z.x,Z.y - 24);
draw(X--Y--Z--W--cycle);
draw(rightanglemark(Y,Z,W,100));
label("$X$",X,SW); label("$Y$",Y,NW); label("$Z$",Z,NE); label("$W$",W,SE); label("96",X--Y,NW); label("104",X--W,SE); label("24",Z--W,E); label("32",Y--Z,N);
[/asy]

level

Level 4

type

Geometry

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Source and history

task_id
8ca6bf0e-1079-54fa-adad-2961cb4bb460
task_key
geometry--test--8ca6bf0e-1079-54fa-adad-2961cb4bb460
task_revision_id
1
config / split
geometry / test

Official source

initial import