ABCD is a square. AB=5x + 8 and AD = 3x + 12. Find X
AB: (5 * 2) + 8 = 18
AD: (3 * 2) + 12 = 18
So, x = 2.
Tessa has proven that x=2, but to find that out, you just need to remember that the sides of a square are all the same length. So,
5x+8 = 3x+12
solving that will show that x=2
To find the value of x, we need to set the two given sides of the square equal to each other.
Let AB = AD:
5x + 8 = 3x + 12
Now, let's simplify the equation by moving the variables to one side and the constants to the other side:
5x - 3x = 12 - 8
That gives us:
2x = 4
Next, we'll divide both sides of the equation by 2 to isolate x:
2x/2 = 4/2
x = 2
So, the value of x is 2.