(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 \( ) \)

To find the length of the rectangular table, we can use the formula for the perimeter of a rectangle, which is given by: \[ P = 2L + 2W \] where \( P \) is the perimeter, \( L \) is the length, and \( W \) is the width. ### Step 1: Convert the width from inches to feet The width of the table is given as 42 inches. Since 1 foot equals 12 inches, we can convert the width to feet: \[ W = \frac{42 \text{ inches}}{12 \text{ inches/foot}} = 3.5 \text{ feet} \] ### Step 2: Substitute the known values into the perimeter formula We know the perimeter \( P \) is 18 feet and the width \( W \) is 3.5 feet. We can substitute these values into the perimeter formula: \[ 18 = 2L + 2(3.5) \] ### Step 3: Simplify the equation Now, we simplify the equation: \[ 18 = 2L + 7 \] ### Step 4: Solve for the length \( L \) Next, we isolate \( L \): \[ 18 - 7 = 2L \] \[ 11 = 2L \] \[ L = \frac{11}{2} = 5.5 \text{ feet} \] ### Conclusion The length of the table is \( 5.5 \) feet.