Section A Section A Checkpoint

Problem 1

Use square tiles to find the area of this figure. Explain or show your reasoning.

A figure for finding area.

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Solution
11 square units. Sample response: I fit 5 squares on the bottom, then 4 more, and then 2 on top so that’s 11 total.
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Sample Response
11 square units. Sample response: I fit 5 squares on the bottom, then 4 more, and then 2 on top so that’s 11 total.

Problem 2

Andre places these squares on the rectangle and says the area of the rectangle is 10 square units.

Do you agree with Andre? Explain your reasoning.

Squares placed on a rectangle.

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Solution

No. Sample response: The squares overlap in some spots and there are gaps, so the full rectangle is not covered. Andre cannot find the area of the rectangle with the squares placed like this.

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Sample Response

No. Sample response: The squares overlap in some spots and there are gaps, so the full rectangle is not covered. Andre cannot find the area of the rectangle with the squares placed like this.

Problem 3

Find the area of the rectangle. Explain or show your reasoning.

<p>Rectangle partitioned into 4 rows of 5 of the same size squares.</p>

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Solution

20 square units. Sample response: I counted the squares and there are 4 rows of 5 squares, which is 20 squares.

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Sample Response

20 square units. Sample response: I counted the squares and there are 4 rows of 5 squares, which is 20 squares.