Question

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

Answer 1

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

The answer is 62 cm