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Answer :
The length of a rectangular table with a perimeter of 18 feet and a width of 42 inches is 5.5 feet or 66 inches. The width in feet is 3.5, and after using the perimeter formula, the length is found to be 5.5 feet, which is 66 inches when converted using the factor 12 inches per foot. Hence, the length of the table is 5.5 feet or 66 inches, so the correct answers are b) 60 Inches and d) 5 feet.
The perimeter of a rectangular object is the sum of all its four sides. Since a rectangle has two lengths and two widths that are equal, the formula for the perimeter (P) is P = 2(length) + 2(width). For the given table, the perimeter is 18 feet and the width is 42 inches.
Firstly, we need to convert the width into feet to use the same unit for both width and length. We know that 1 foot = 12 inches, so 42 inches is 42 / 12 = 3.5 feet. Now, we can input the width into the perimeter formula:
18 = 2(length) + 2(3.5).
To find the length, we simplify the equation:
18 = 2(length) + 7
18 - 7 = 2(length)
11 = 2(length)
5.5 feet = length.
The length in inches can be found by converting feet to inches using the conversion factor 12 inches = 1 foot. Multiplying 5.5 feet by the conversion factor gives us:
5.5 ft x (12 in/1 foot) = 66 inches.
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