9
QuizMultiple Choice

Polynomial Expressions — Test

Question 9 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Zohar is using scissors to cut a rectangle with a length of 5 x minus 2 and a width of 3 x plus 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 is equal to 4 ?

Answer
A
open paren 5 x minus 2 close paren plus open paren 3 x plus 1 close paren ; 36 centimeters
B
open paren 5 x minus 2 close paren plus open paren 3 x plus 1 close paren ; 31 centimeters
C
2 times open paren 5 x minus 2 close paren plus 2 times open paren 3 x plus 1 close paren ; 62 centimeters
D
2 times open paren 5 x minus 2 close paren plus 2 times open paren 3 x plus 1 close paren ; 70 centimeters

Explanation

A rectangle’s perimeter is twice its length plus twice its width: 2(5x − 2) + 2(3x + 1). When x = 4, the length is 5(4) − 2 = 18 cm and the width is 3(4) + 1 = 13 cm. The perimeter is 2(18) + 2(13) = 62 cm, so the matching choice is the expression with a perimeter of 62 centimeters.

AI-written and checked against the verified answer.

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