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MATH / Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS. [asy] /…

Problem

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

problem

Let PQRSPQRS be a square piece of paper. PP is folded onto RR and then QQ is folded onto SS. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRSPQRS. [asy] /* AMC8 1998 #20P */ size(1inch,1inch); label("PP", (0, 72), SE); label("QQ", (72, 72), SW); label("SS", (0, 0), NE); label("RR", (72, 0), NW); draw((0,0)--(72,0)--(72,72)--(0,72)--cycle); [/asy]
Plain-text mathematical notation (without MathML)
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS. [asy]
/* AMC8 1998 #20P */
size(1inch,1inch);
label("P", (0, 72), SE);
label("Q", (72, 72), SW);
label("S", (0, 0), NE);
label("R", (72, 0), NW);
draw((0,0)--(72,0)--(72,72)--(0,72)--cycle);
[/asy]
Original LaTeX notation
Let $PQRS$ be a square piece of paper. $P$ is folded onto $R$ and then $Q$ is folded onto $S$. The area of the resulting figure is 9 square inches. Find the perimeter of square $PQRS$. [asy]
/* AMC8 1998 #20P */
size(1inch,1inch);
label("$P$", (0, 72), SE);
label("$Q$", (72, 72), SW);
label("$S$", (0, 0), NE);
label("$R$", (72, 0), NW);
draw((0,0)--(72,0)--(72,72)--(0,72)--cycle);
[/asy]

level

Level 4

type

Prealgebra

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Source and history

task_id
ad5be8d5-ac0a-5926-bed3-76ec75301839
task_key
prealgebra--test--ad5be8d5-ac0a-5926-bed3-76ec75301839
task_revision_id
1
config / split
prealgebra / test

Official source

initial import