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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.
start text, A, r, e, a, end textequals, start color #543b78, 2, start text, space, s, e, v, e, n, s, end text, end color #543b78, plus, start color #9e034e, 5, start text, space, s, e, v, e, n, s, end text, end color #9e034e
equals, start color #543b78, 14, end color #543b78, plus
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
Stuck?
Stuck?