what is the value of x given the perimeter is 76, the length is 3x -6 and the width is x.
P = 2L + 2W
76 = 2(3x - 6) + 2x
76 = 6x - 12 + 2x
88 = 8x
11 = x
To find the value of x, we need to set up an equation based on the given information.
First, let's recall the formula for the perimeter of a rectangle: P = 2(length + width).
Given that the perimeter is 76, we can write the equation as:
76 = 2(3x - 6 + x)
Now, let's simplify the equation and solve for x:
76 = 2(4x - 6)
76 = 8x - 12
To isolate x, let's get rid of the coefficient 8 by adding 12 to both sides:
76 + 12 = 8x
88 = 8x
Next, let's solve for x by dividing both sides of the equation by 8:
88/8 = x
11 = x
Therefore, the value of x is 11.