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Jill has a rectangular poster hanging in her room. The poster’s width is 2 inches shorter than its length. The perimeter of the poster is 103 inches. Let \( l \) represent the poster’s length.

Which equation models this situation?

A) \( 2l - 2 = 103 \)
B) \( 2(l - 2) = 103 \)
C) \( 2(2l - 2) = 103 \)
D) \( 2(2l + 2) = 103 \)

Answer :

Final answer:

The poster's width is given as 212 in. shorter than the length. Substituting the width in the formula for perimeter of a rectangle, the equation becomes 2(l + l - 212) = 103. After simplification, the correct equation is 2(2l - 212) = 103.

Explanation:

In this problem, let's understand the relation between the width, length, and perimeter of a rectangular shape. The width is given as 212 in. shorter than the length, so we represent it as (l - 212). The perimeter of a rectangle is calculated with the formula 2*(length + width). So by substituting the values, the equation becomes 2(l + l - 212) = 103. So, simplifying this equation, it becomes 2(2l - 212) = 103, which corresponds to option C.

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