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MATH / The square quilt block shown is used in a larger quilt. The four small squares…

Problem

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

problem

The square quilt block shown is used in a larger quilt. The four small squares in the block are congruent, and the four small vertical rectangles in the block that are not squares are also congruent. The total area of the shaded regions is what fraction of the total area of the block? Express your answer as a common fraction.

[asy]
fill((-10,0)--(-5,0)--(-5,5)--cycle,gray(0.7));
fill((-5,5)--(-5,10)--(0,10)--cycle,gray(0.7));
fill((0,0)--(0,10)--(10,10)--cycle,gray(0.7));
fill((0,0)--(-10,-10)--(0,-10)--cycle,gray(0.7));
fill((0,-10)--(5,-10)--(5,-5)--cycle,gray(0.7));
fill((5,-5)--(5,0)--(10,0)--cycle,gray(0.7));
draw((10,10)--(10,-10)--(-10,-10)--(-10,10)--cycle);
draw((-10,-10)--(10,10));
draw((0,10)--(0,-10));
draw((10,0)--(-10,0));
draw((-5,0)--(-5,10));
draw((5,0)--(5,-10));
[/asy]

level

Level 4

type

Prealgebra

Discussion

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Source and history

task_id
5aedbd90-04f3-58f9-a1c2-d0b7804d6a38
task_key
prealgebra--test--5aedbd90-04f3-58f9-a1c2-d0b7804d6a38
task_revision_id
1
config / split
prealgebra / test

Official source

initial import