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 :

The total distance she will need to cut is 62 centimeters. Work shown: 1) simplify original equation- 10x-4+6x+2( 40-4+24+2) 2) solve equation: 36+24+2 3) continue to solve: 38+24= 62. Now you have your answer!!

The total distance that Zohar needs to cut with the scissors is 70cm. The rectangle problem is solved by substituting the value of x in to the equation.

What is the calculation for the above problem?

To get the required distance to be cut, we need to substitute 4 into the equation as the value of x.

Hence,

= 2(5x+2) + 2(3x+1)

= 2(5(4)+2) + 2(3(4)+1)

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

= 2(22) + 2(13)

= 44+26

= 70 cm

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