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?

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

Answer 1

Option c is correct.

62 centimeters distance Zohar needs to cut with scissors.

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 =
`2(5(4)-2) +2(3(4)+1) = 2(20-2)+2(12+1) = 2 \cdot 18 + 2 \cdot 13 = 36 + 26 = 62` cm

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