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?

(5x−2)+(3x+1); 31 centimeters
(5x−2)+(3x+1); 36 centimeters
2(5x−2)+2(3x+1); 62 centimeters
2(5x−2)+2(3x+1); 70 centimeters

Answer 1

2(5x-2)+2(3x+1); 62 cm

Explanation:

Perimeter = 2(l + w) = 2 length + 2 times width

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

10x -4+ 6x + 2 = 16x - 2

16(4)-2 = 62 cm

Answer 2

Explanation:

AI-generated answer

To find the perimeter of the rectangle, we need to add up the lengths of all four sides. The formula for the perimeter of a rectangle is 2 times the sum of the length and the width.

In this case, the length of the rectangle is given as 5x - 2, and the width is given as 3x + 1.

To find the perimeter, we can use the formula 2(length + width).

Plugging in the given values, the expression to find the perimeter is:

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

Now, let's calculate the perimeter when x = 4.

Replacing x with 4 in the expression:

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

2((20 - 2) + (12 + 1))

2(18 + 13)

2(31)

62 centimeters

Therefore, the correct expression to find the perimeter of the rectangle is 2(5x - 2) + 2(3x + 1), and the perimeter when x = 4 is 62 centimeters.