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

62 is the answer, 2(5(4)-2)+2(3(4)+1)=62

Answer 2

62 centimeters.

Solution:
From given perimeter = 2(5x-2) + 2(3x+1)
Perimeter is the same as adding all the sides of the polygon. In this case, adding all sides of rectangle in terms of length.
Therefore;
2(5 × 4 - 2) + 2(3 × 4 + 1)
2(20 - 2) + 2(12 + 1)
2(18) + 2(13)
36 + 26
=62
Therefore, 62 centimeters would be the answer.