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

The perimeter $P$ of a rectangle is $P = 2l+2w$, where $l = 5x - 2$ and $w=3x + 1$. So $P=2(5x - 2)+2(3x + 1)$.

Step2: Substitute $x = 4$

$P=2(5\times4 - 2)+2(3\times4 + 1)=2(20 - 2)+2(12 + 1)=2\times18+2\times13 = 36+26=70$.

Answer:

D. $2(5x - 2)+2(3x + 1)$; 70 centimeters