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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The Deep Dive
To find the length of the rectangular table, we start by converting the table's width from inches to feet. The width is 42 inches, which equals \( \frac{42}{12} = 3.5 \) feet. The formula for the perimeter \( P \) of a rectangle is given by \( P = 2l + 2w \), where \( l \) is the length and \( w \) is the width. Substituting the known values we have: \[ 18 = 2l + 2(3.5) \] This simplifies to: \[ 18 = 2l + 7 \] Subtracting 7 from both sides gives: \[ 11 = 2l \] Finally, dividing by 2, we find: \[ l = 5.5 \] Thus, the length of the table is 5.5 feet. Now you know how to convert inches to feet, and remember, math can sometimes feel like a puzzle! Keep practicing those measurements; soon enough, it’ll feel as easy as pie!
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