(6) The perimeter of a rectang flar table is 18 feet. The table is 42 inches wide. Which of the following show the length of the table? \( (1 \) foot \( =12 \) inches \( ) \)
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To find the length of the table, we first convert the measurements to the same unit. The width is 42 inches, which is \( \frac{42}{12} = 3.5 \) feet. The formula for the perimeter \( P \) of a rectangle is \( P = 2 \times (\text{length} + \text{width}) \). Plugging in the values, we have \( 18 = 2 \times (\text{length} + 3.5) \). Dividing both sides by 2 gives \( 9 = \text{length} + 3.5 \). Subtracting 3.5 from both sides results in a length of \( 5.5 \) feet. A little tip: Always ensure your measurements are in the same units before making calculations! Also, beware of mixing feet and inches; it's easy to get tangled up, especially in word problems involving different units. Just remember, if it feels like a mathematical maze, always draw your rectangle to visualize the situation!