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?

Answer 1

`P=2(8x-1)`

`P=62` at
`x=4`

Explanation:

Given: The length of the rectangle is
`5x-2` and width of the rectangle is
`3x+1`

To find: An expression that can be used to find the perimeter of the rectangle, and the perimeter when x is 4.

Solution:

Here, Length is given as
`5x-2`

width of the rectangle is
`3x+1`

Let P represents the perimeter of the rectangle

We know that perimeter of a rectangle is
`2(l+w)`

So, we have

`P=2(l+w)`

`P=2(5x-2+3x+1)`

`P=2(8x-1)`

Therefore, the expression to find the perimeter is
`P=2(8x-1)`

Now, we need to find the perimeter at
`x=4`

On substituting
`x=4` in
`P=2(8x-1)` we have,

`P=2(8(4)-1)`

`P=2(32-1)`

`P=2(31)`

`P=62`

Hence, the perimeter is 62 units when x is 4.

Answer 2

Answer with Step-by-step explanation:

Zohar cut a rectangle with a length of 5x – 2

and a width of 3x + 1

We know that:

Perimeter of rectangle is:

Perimeter=2(length+width)

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

=2(8x-1)

=16x-2

Hence, expression which can be used to find the perimeter of the rectangle is:

16x-2

Now, when x=4

16x-2=16×4-2

=62

Hence, when x=4 ,Perimeter=62