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The area of the entire figure below is
\[1\] square unit.
A rectangle that has been split into 63 parts, set in 7 rows of 9 parts each. The first nine parts in the top 3 rows are striped to show they are shaded both blue and purple. The tenth parts in the top 3 rows have been shaded blue. The first nine parts in the bottom 4 rows have been shaded purple. The tenth parts in the bottom 4 rows are unshaded. Along the top of the rectangle, the columns are labeled one-tenth. Along the left side of the square, the rows are labeled one-seventh. A bracket along the rectangle's length is labeled 4 ninths. A bracket along the rectangle's width is labeled 5 sevenths.
\[\frac{1}{9}\]
\[\frac{1}{9}\]
\[\frac{1}{9}\]
\[\frac{1}{9}\]
\[\frac{1}{9}\]
\[\frac{1}{9}\]
\[\frac{1}{9}\]
\[\frac{1}{9}\]
\[\frac{1}{9}\]
\[\purpleE{\dfrac{4}{9}}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\frac{1}{7}\]
\[\blueE{\dfrac{5}{7}}\]
What is the area of the striped rectangle?
Write your answer as a fraction.
Sagot :
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