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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?

a) 31 centimeters
b) 36 centimeters
c) 62 centimeters
d) 70 centimeters

Respuesta :

Answer:

Option c is correct.

62 centimeters distance Zohar needs to cut with scissors.

Step-by-step explanation:

As per the statement:

Length of a rectangle = 5x -2 and width of a rectangle = 3x + 1.

It is also given that the perimeter of the rectangle is, 2(5x-2) +2(3x+1).  .....[1]

The perimeter of a rectangle is the total length around the outside.

To find the total distance Zohar needs to cut with scissors.

Substitute the value of x = 4 cm in [1] we get;

Perimeter of the rectangle =[tex]2(5(4)-2) +2(3(4)+1) = 2(20-2)+2(12+1) = 2 \cdot 18 + 2 \cdot 13 = 36 + 26 = 62[/tex] cm

Therefore, the total  distance Zohar needs to cut with scissors is, 62 centimeters