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Let's represent the length of the rectangle as "L".
The perimeter of a rectangle is calculated by adding up all its sides, which means that:
Perimeter = 2(length + width)
Given that the width is 24 cm, we can substitute the given values into the equation:
126 = 2(L + 24)
Now, let's simplify the equation and solve for L:
126 = 2L + 48
Subtract 48 from both sides:
78 = 2L
Divide both sides by 2:
39 = L
Therefore, the equation to find the rectangle's length is L = 39.