Questions: Which expression represents the perimeter of the rectangle below? A. 13 x-31 B. 13 x-55 C. 26 x-62 D. 26 x-124

Transcript text: Which expression represents the perimeter of the rectangle below? A. $13 x-31$ B. $13 x-55$ C. $26 x-62$ D. $26 x-124$

Solution

Solution Steps

Step 1: Recall the formula for the perimeter of a rectangle

The perimeter of a rectangle is given by $P = 2(l+w)$, where $l$ is the length and $w$ is the width.

Step 2: Substitute the given expressions for length and width

In the given rectangle, the length is $5x+12$ and the width is $8x-43$. Substituting these values into the perimeter formula, we get: $P = 2((5x+12) + (8x-43))$

Step 3: Simplify the expression

$P = 2(5x + 12 + 8x - 43)$ $P = 2(13x - 31)$ $P = 26x - 62$

Final Answer:

The expression that represents the perimeter of the rectangle is $26x - 62$, which is option C.

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