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

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

Answer 2

Answer:

$P=2(8x-1)$

$P=62$ at $x=4$

Step-by-step 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.