QQuestionMathematics
QuestionMathematics
Which expression is shown using the model below?
A model with 6 rows of 6 squares and 6 rows of 5 squares.
A. 5(6 + 6)
B. 5(6 + 5)
C. 6(6 + 5)
D. 6(6 + 10)
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Analyze the model
- The model consists of two parts: * 6 rows with 6 squares * 6 rows with 5 squares
Step 3:: Count the squares in each part
- First part: 6 rows × 6 squares = $$6 \times 6 = 36$$ squares
- Second part: 6 rows × 5 squares = 6 \times 5 = 30 squares
Step 4:: Determine the algebraic expression
- This would be: $$5(6+6)$$ or $$5(6+5)$$ or $$6(6+5)$$ or $$6(6+10)
- We want an expression that represents the total number of squares
Step 5:: Check each option
- Option D: $$6(6+10) = 6(16) = 96
- Option B: 5(6 + 5) = 5(11) = 55
Step 6:: Verify the correct answer
- This matches option C: $$6(6+5)
- By counting the squares in the model, we see 36 + 30 = 66 total squares
Final Answer
C. 6(6 + 5)
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