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. 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

Answer 1

C.2(5x−2)+2(3x+1) ; 62 centimeters

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 2

Option C is the correct answer.

Explanation:

The perimeter of a rectangle is given as:
`2(length+width)`

The length is =
`5x- 2`

The width is =
`3x+1`

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

And when x = 4, then perimeter will be :

`2[(5(4)-2)+(3(4)+1)]`

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

=>
`2[(18)+(13)]`

=>
`2(31)`

= 62 cm

So, the correct option is : option C.