Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. the perimeter of the rectangle is 2(5x – 2) + 2(3x + 1). if x = 4 centimeters, what is the total distance zohar needs to cut with the scissors?

We need to solve for the total distance that Zahor needs to cut which is in a rectangle shape. We are given with following conditions:
Length of Rectangle = 5x - 2 when x= 2cm, substitute it in order to solve the length value
Length of rectangle = (5*2) -2 = 8 cm
Width of rectangle = 3x + 1 = (3*2) + 1= 7cm
The area of the rectangle is LxW = 8cm * 7cm = 56cm²
Solving for the Perimeter when x = 2cm, we have the solution below:
Perimeter = 2L + 3W , substitute length and width values
Perimeter = 2(8cm) + 3(7cm)
Perimeter = 16cm + 21cm
Perimeter = 37 cm

The total distance that Zahor needs to cut is 37cm.

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