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MATH / In the diagram, the area of rectangle PQRS is 24. If TQ=TR, what is the area of quadrilateral PTRS? [asy] size(100); draw((0,0)--(6,0)--(6,4)--(0,4)--cycle); draw((0,4)--(6,2)); dr…

Problem

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

problem

In the diagram, the area of rectangle PQRSPQRS is 24.24. If TQ=TR,TQ = TR, what is the area of quadrilateral $PTRS?$ [asy] size(100); draw((0,0)--(6,0)--(6,4)--(0,4)--cycle); draw((0,4)--(6,2)); draw((5.8,1.1)--(6.2,1.1)); draw((5.8,.9)--(6.2,.9)); draw((5.8,3.1)--(6.2,3.1)); draw((5.8,2.9)--(6.2,2.9)); label("PP",(0,4),NW); label("SS",(0,0),SW); label("RR",(6,0),SE); label("TT",(6,2),E); label("QQ",(6,4),NE); [/asy]
Plain-text mathematical notation (without MathML)
In the diagram, the area of rectangle PQRS is 24. If TQ=TR, what is the area of quadrilateral $PTRS?$ [asy]
size(100);
draw((0,0)--(6,0)--(6,4)--(0,4)--cycle);
draw((0,4)--(6,2));
draw((5.8,1.1)--(6.2,1.1));
draw((5.8,.9)--(6.2,.9));
draw((5.8,3.1)--(6.2,3.1));
draw((5.8,2.9)--(6.2,2.9));
label("P",(0,4),NW);
label("S",(0,0),SW);
label("R",(6,0),SE);
label("T",(6,2),E);
label("Q",(6,4),NE);
[/asy]
Original LaTeX notation
In the diagram, the area of rectangle $PQRS$ is $24.$ If $TQ = TR,$ what is the area of quadrilateral $PTRS?$ [asy]
size(100);
draw((0,0)--(6,0)--(6,4)--(0,4)--cycle);
draw((0,4)--(6,2));
draw((5.8,1.1)--(6.2,1.1));
draw((5.8,.9)--(6.2,.9));
draw((5.8,3.1)--(6.2,3.1));
draw((5.8,2.9)--(6.2,2.9));
label("$P$",(0,4),NW);
label("$S$",(0,0),SW);
label("$R$",(6,0),SE);
label("$T$",(6,2),E);
label("$Q$",(6,4),NE);
[/asy]

level

Level 3

type

Prealgebra

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Source and history

task_id
db7cbab4-1806-5c3e-910e-5aa4acf7cb2b
task_key
prealgebra--test--db7cbab4-1806-5c3e-910e-5aa4acf7cb2b
task_revision_id
1
config / split
prealgebra / test

Official source

initial import