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?

Respuesta :

Answer

Find out the  what is the total distance Zohar needs to cut with the scissors .

To prove

As given

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.

As

Perimeter  of the rectangle =  2(5x – 2) + 2(3x + 1)

As x = 4

Put in the above

Perimeter  of the rectangle =  2 × (5 × 4 – 2) + 2 × (3 × 4 + 1)

                                             = 2× (20 - 2) + 2 × (12 +1 )

                                             = 2 × 18 + 2 × 13

                                             = 36 + 26

                                             = 62 units

Therefore total distance Zohar needs to cut with the scissors is 62 units.

Answer: 62 centimeters

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