Unit 6, Lesson 10
The Distributive Property, Part 2
Grade 6
Practice
Problem 1
Here is a rectangle.
Area diagram. A rectangle partioned vertically into 3 smaller rectangles. First rectangle, vertical side, a, bottom side 2. Second rectangle, veritcal side, a, bottom side, 3. Third rectangle, vertical side, a, bottom side, 4.
- Explain why the area of the large rectangle is \(2a + 3a + 4a\).
- Explain why the area of the large rectangle is \((2+3+4)a\).
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Problem 2
Is the area of the shaded rectangle \(6(2-m)\) or \(6(m-2)\)? Explain how you know.
Area diagram of two attached rectangles, one with a shaded area. The height of the rectangle is 6 and has a total width of m. Smaller attached rectangle shares the height of 6 and has a width of 2.
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Problem 3
Select all the expressions that represent the total area of the rectangle.
\(5t + 4t\)
\(t + 5 + 4\)
\(9t\)
\(4 \boldcdot 5 \boldcdot t\)
\(t(5+4)\)
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