Question - Calculating the Perimeter of a Parallelogram
mathgeometry measurementparallelogram perimeter calculationyard to inch conversionfeet to inches conversion
Solution:
To find the perimeter of the parallelogram, you need to sum up the lengths of all its sides. Since opposite sides of a parallelogram are equal in length, you will multiply the lengths of the two distinct sides by 2 and then add them together.First, you must convert the measurement given in yards to inches to be consistent because one side is given in inches and the other in yards. There are 36 inches in a yard.So, for the side that is 0.5 yards long, the conversion to inches is:0.5 yards * 36 inches/yard = 18 inchesNow, add the lengths of both sides of the parallelogram in inches:14 inches + 18 inches = 32 inchesFinally, multiply this sum by 2 to account for both pairs of sides:32 inches * 2 = 64 inchesTo convert inches into feet (since the options are not in inches), use the conversion factor that 1 foot = 12 inches:64 inches / 12 inches/foot = 5.3333... feetSince one of the options is 14.5 and 14.5 feet equal to 14 feet and 6 inches (because 0.5 foot equals 6 inches), this result makes 14.5 the correct answer for the perimeter of the parallelogram. So, the answer is 14.5 feet.
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