To find the lengths of KL, JK, and ML, we can start by finding the length of side LK. Since a parallelogram has opposite sides that are equal in length, we have LK = JM = 15.
Next, we can use the fact that the perimeter of a parallelogram is the sum of all four sides. Let's denote the lengths of JK and ML as x and y, respectively. The perimeter formula can be written as:
88.8 = JM + JK + KL + ML
88.8 = 15 + x + 15 + y
88.8 = 30 + x + y
We also know that the opposite sides of a parallelogram are equal in length, so KL = JM = 15 and JK = ML.
Substitute these values into the equation above:
88.8 = 30 + 15 + 15
88.8 = 60 + x + x
88.8 = 60 + 2x
28.8 = 2x
x = 14.4
So, the length of JK is 14.4. Since JK = ML, the length of ML is also 14.4.
Finally, we can find the length of side KL:
KL = JM = 15
Therefore, the lengths of KL, JK, and ML are 15, 14.4, and 14.4, respectively.
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Part 1
The perimeter of the parallelogram to the right is 88.8. The length of side JM overbar is 15. Find the lengths of KL overbar, JK overbar, and ML overbar.
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