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 perimeter expression

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

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Answer:

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