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? 31 centimeters 36 centimeters 62 centimeters 70 centimeters
This is the concept of algebra, given that the length of the rectangle is 5x-2 and the width is 3x+1, the perimeter is 2(5x-2)+2(3x+1). To get the total distance Zohar needs to cut with the scissors, we substitute the value of x=4 in the expression for perimeter. Hence we shall have: 2(5x-2)+2(3x+1) =2(5*4-2)+2(3*4+1) =2(20-2)+2(12+1) =2(18)+2(13) =36+26 =62 cm
