BrailynG479993 BrailynG479993
  • 03-11-2022
  • Mathematics
contestada

The lengths of the diagonals of a rectangle are representedby 2x + 3 and 4x - 11. Find the value of x.

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JanieceS254805 JanieceS254805
  • 03-11-2022

The problem says that there are formulas for the diagonals of a rectangle. they are both givan in terms of x

Now, recall that the diagonals of a rectangle should be equal to each other, therefore those two expressions must equal ech other

2 x + 3 = 4 x - 11

Now let's solve for x:

move all terms with "x" to one side of the equation, and all "numerical" terms to the other side:

start by subtracting 2x from both sides:

3 = 4 x - 2 x - 11

3 = 2 x - 11

Now add 11 to both sides:

11 + 3 = 2 x

14 = 2 x

then x is 7

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