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Area and the distributive property

Problem

Each square in the figure below has an area of 1 square unit. We can break the figure into two parts.
A square divided into unit squares with 7 rows and 7 columns. A curved bracket across the rows is labeled 7 and a curved bracket across the columns is labeled 7. The first 2 rows are shaded purple and a curved bracket across these rows is labeled 2. The last 5 rows are shaded pink and a curved bracket across these rows is labeled 5.
Complete the equations to find the area of the entire figure.
Area=2 sevens+5 sevens
=14+
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
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