Question - Calculating Perimeter of a Parallelogram with Mixed Units
Solution:
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 inchesNow, 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.
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