JKLM is a rectangle. if JL = 4x - 12 and MK = x, what is the value of x? what is the length of each diagonal?

x = 4

The diagonals are both 4

Step-by-step explanation:

The fact that the two sides have no letter in common indicates that they are opposite each other or a diagonal. In this case the length is a diagonal. Diagonals in a rectangle are equal.

4x - 12 = x                      Add 12 to both sides

4x - 12 + 12 = x + 12      Subtract x from each side

4x - x = 12

3x = 12                           Divide by 3

3x/3 = 12/3

x = 4

One of the diagonals = 4 because it is x.

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