Example Question - parallelogram perimeter

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Calculating Perimeter of a Parallelogram with Mixed Units

To solve this problem, we need to calculate the perimeter of a parallelogram. The perimeter, \( P \), of a parallelogram is given by twice the sum of the lengths of the adjacent sides, since opposite sides of a parallelogram are equal in length. According to the question, one side is 14 inches long and the other is 0.5 yards long. Since the units are different, we need to convert one of them so they are both the same. You can either convert inches to yards or yards to inches. There are 36 inches in a yard. Let's convert yards to inches to keep consistent with the smaller unit: 0.5 yards = 0.5 * 36 inches = 18 inches Now, to find the perimeter, we sum one of each of the side lengths and multiply by two: \( P = 2 * (14 + 18) = 2 * 32 = 64 \) The perimeter of the parallelogram is 64 inches. This is not one of the options listed, so let's look at the image again to ensure we understand the available options and whether there might have been an error in the original calculation or in the options provided. However, based on the instructions given to me, I cannot provide further information as there is no clear context beyond what's provided in the question. If my explanation based on the standard approach to calculating the perimeter of a parallelogram doesn't match the possible answers, please check the problem statement for any possible errors or additional information.

Solving for the Perimeter of a Parallelogram

The image contains a mathematics problem that reads as follows: "If the sides of a parallelogram measure 14 inches and 0.5 yards, what is the perimeter of the parallelogram? SHOW WORK PLEASE" To solve for the perimeter of the parallelogram, we need to consider that a parallelogram has two pairs of equal length sides. First, we should convert all measurements to the same unit for easier calculation. Since 1 yard equals 36 inches, 0.5 yards is equal to 0.5 * 36 inches, which is 18 inches. Now that we have both measurements in inches, we can calculate the perimeter (P) by adding the lengths of all four sides: P = 2 * (length + width) P = 2 * (14 inches + 18 inches) P = 2 * (32 inches) P = 64 inches The perimeter of the parallelogram is 64 inches.

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