Example Question - mixed units conversion
Here are examples of questions we've helped users solve.
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.
Mixed Units Subtraction Calculation
The subtraction problem given is in mixed units (yards, feet, and inches) and it asks to subtract 1 foot 11 inches from 2 yards 2 feet 6 inches. To solve this, let's first convert everything to inches for uniformity. Recall that: - 1 yard = 3 feet - 1 foot = 12 inches First, convert the measurements: - 2 yards = 2 × 3 feet = 6 feet - 2 feet remains as is - 6 inches remains as is So the total for 2 yards 2 feet 6 inches in inches is: - 6 feet + 2 feet = 8 feet - 8 feet × 12 inches/foot = 96 inches - Add the 6 inches to 96 inches to get a total of 102 inches. Now, let's convert 1 foot 11 inches to inches: - 1 foot = 12 inches - 11 inches remains as is Add these two to get the total inches for 1 foot 11 inches: - 12 inches + 11 inches = 23 inches Now let's subtract 23 inches from 102 inches to get the solution: - 102 inches - 23 inches = 79 inches Finally, convert 79 inches back to yards, feet, and inches: - 79 inches ÷ 12 inches/foot = 6 feet with 7 inches remainder (since 79 = 6 × 12 + 7) - 6 feet can be represented as 2 yards because 6 feet ÷ 3 feet/yards = 2 yards The final answer is: - 2 yards 0 feet 7 inches
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