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 the perimeter formula of a rectangle

The perimeter formula of a rectangle is \(P = 2l+2w\), where \(l\) is the length and \(w\) is the width. Given \(l=(5x - 2)\) and \(w=(3x + 1)\), the perimeter expression is \(2(5x-2)+2(3x + 1)\).

Step2: Simplify the perimeter expression

$$
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$$

Step3: Substitute \(x = 4\) into the simplified expression

When \(x = 4\), \(P=16\times4-2\).

$$
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$$

Answer:

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