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Veronica made the pattern shown out of 7 rectangles with four equal sides. The side length of each rectangle is written inside the rectangle.

A. How many rectangles can be formed using the lines in this figure?

B. If Veronica wanted to extend her pattern by adding another rectangle with 4 equal sides to make a larger rectangle, what are the possible side lengths of rectangles that she can add?

Hint: There are two possible answers, but one is better since it follows Veronica’s pattern.

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A) With the lines of the figure you can make 5 rectangles.

B) The possible side lengths of the rectangle would be 8.

Rectangles

Given that Veronica made the pattern shown out of 7 rectangles with four equal sides, and the side length of each rectangle is written inside the rectangle, to determine A) how many rectangles can be formed using the lines in this figure, and B) if Veronica wanted to extend her pattern by adding another rectangle with 4 equal sides to make a larger rectangle, what are the possible side lengths of rectangles that she can add, the following calculations must be made:

A)

  • 1 + 1 = 1
  • 1 + 1 + 2 = 2
  • 1 + 1 + 2 + 3 = 3
  • 1 + 1 + 2 + 3 + 5 = 4
  • 1 + 1 + 2 + 3 + 5 + 8 = 5
  • Therefore, with the lines of the figure you can make 5 rectangles.

B)

  • 8 = 5 + 3 = 5 + 1 + 2
  • Therefore, the possible side lengths of the rectangle would be 8.

Learn more about rectangles in https://brainly.com/question/10046743

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