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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. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4?
A.(5x−2)+(3x+1); 31 centimeters
B.(5x−2)+(3x+1); 36 centimeters
C.2(5x−2)+2(3x+1); 62 centimeters
D.2(5x−2)+2(3x+1); 70 centimeters

Respuesta :

aamaruf

Answer:

C.2(5x−2)+2(3x+1) ; 62 centimeters

Step-by-step explanation:

perimeter=2w+2l

                  =2(5x−2)+2(3x+1)

if x = 4

2(5x−2)+2(3x+1)

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

=(2*18)+(2*13)

=36+26

=62

Answer:

Option C is the correct answer.

Step-by-step explanation:

The perimeter of a rectangle is given as: [tex]2(length+width)[/tex]

The length is = [tex]5x- 2[/tex]

The width is = [tex]3x+1[/tex]

So, perimeter is given by: [tex]2[(5x-2)+(3x+1)][/tex]

And when x = 4, then perimeter will be :

[tex]2[(5(4)-2)+(3(4)+1)][/tex]

=> [tex]2[(20-2)+(12)+1)][/tex]

=> [tex]2[(18)+(13)][/tex]

=> [tex]2(31)[/tex]

= 62 cm

So, the correct option is : option C.

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