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Grade 3 · MD

Area and the Distributive Property

Break a rectangle into two smaller rectangles and add their areas to find the total.

Grade 3Common Core 3.MD.C.7cMDVerified correct ✓

Worked examples

A rectangle has a width of 7 and a length of 6. Split the rectangle into two parts: one 7×5 and one 7×1. Use the Distributive Property: 7 × 6 = 7 × (5 + 1). What is the total area of the rectangle?
Answer: 42
A rectangle has a width of 7 and a length of 9. Split the rectangle into two parts: one 7×6 and one 7×3. Use the Distributive Property: 7 × 9 = 7 × (6 + 3). What is the total area of the rectangle?
Answer: 63

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