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MATH / Carpet costs 21.95 per square yard and the padding to put under it costs 2.55 per square yard. Felix plans to install padding and carpet in the region shown in the diagram. What is…

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problem

Carpet costs $21.95\$21.95 per square yard and the padding to put under it costs $2.55\$2.55 per square yard. Felix plans to install padding and carpet in the region shown in the diagram. What is the cost of the carpet and padding needed to exactly cover the room? [asy] unitsize(0.2 inch); //import geometry; draw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0)); label("4 yds",(2,5),N); label("3 yds",(4,3.5),E); label("5 yds",(6.5,2),N); label("2 yds",(9,1),E); [/asy]
Plain-text mathematical notation (without MathML)
Carpet costs $21.95 per square yard and the padding to put under it costs $2.55 per square yard. Felix plans to install padding and carpet in the region shown in the diagram. What is the cost of the carpet and padding needed to exactly cover the room?

[asy]
unitsize(0.2 inch);
//import geometry;
draw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0));

label("4 yds",(2,5),N);
label("3 yds",(4,3.5),E);
label("5 yds",(6.5,2),N);
label("2 yds",(9,1),E);

[/asy]
Original LaTeX notation
Carpet costs $\$21.95$ per square yard and the padding to put under it costs $\$2.55$ per square yard. Felix plans to install padding and carpet in the region shown in the diagram. What is the cost of the carpet and padding needed to exactly cover the room?

[asy]
unitsize(0.2 inch);
//import geometry;
draw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0));

label("4 yds",(2,5),N);
label("3 yds",(4,3.5),E);
label("5 yds",(6.5,2),N);
label("2 yds",(9,1),E);

[/asy]

level

Level 4

type

Prealgebra

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Source and history

task_id
854e685a-2c62-57b4-aea9-1360084cad1c
task_key
prealgebra--test--854e685a-2c62-57b4-aea9-1360084cad1c
task_revision_id
1
config / split
prealgebra / test

Official source

initial import