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Which expressions represent the perimeter of the rectangle formed by all the tables together? Choose all that apply.

A) 10x - 12 + x + 10x - 12 + x
B) 8(2.5x - 3) + 5x
C) 2(10x - 12) + 2x
D) 4(2.5x - 3) + x
E) 11x - 12

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Final answer:

The expressions A, B, and C correctly represent the perimeter of the rectangle by summing twice the width and twice the length. Expressions D and E do not calculate the perimeter correctly, as they fail to account for doubling both dimensions.

Step-by-step explanation:

To determine which expressions represent the perimeter of the rectangle formed by tables placed together, we must add up the lengths of all four sides of the rectangle. In these expressions, x presumably represents the length of one or more sides of the joined tables or perhaps a certain number of tables. We are given several different algebraic expressions to choose from.

The perimeter of a rectangle is found by summing twice the width and twice the length (P=2l+2w).

The correct expressions which represent this sum are:

  • A) 10x - 12 + x + 10x - 12 + x
  • B) 8(2.5x - 3) + 5x
  • C) 2(10x - 12) + 2x

These options correctly calculate the perimeter by doubling the length and width and ensure all sides of the rectangle are included. Option E is incorrect as it only represents the sum of one length and one width and doesn't multiply them by 2. Option D is incorrect because adding x once does not accommodate for both the length and the width needing to be doubled.

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