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

Explanation:

Step1: Recall perimeter formula for rectangle

Perimeter of rectangle = $2\times(length + width) = 2\times length + 2\times width$

Step2: Substitute length and width

Length = $5x - 2$, Width = $3x + 1$ → Perimeter expression: $2(5x - 2) + 2(3x + 1)$

Step3: Calculate perimeter when $x=4$

Substitute $x=4$: $2(5\times4 - 2) + 2(3\times4 + 1) = 2(20 - 2) + 2(12 + 1) = 2\times18 + 2\times13 = 36 + 26 = 62$

Answer:

C. $2(5x - 2) + 2(3x + 1)$; 62 centimeters