10
QuizMultiple Choice

Factoring Trinomials: a > 1 — Unit test

Question 10 • FL-1200700-Mathematics for College Algebra MIS

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?

Answer
A
(5x−2)+(3x+1); 31 centimeters
B
(5x−2)+(3x+1); 36 centimeters
C
2(5x−2)+2(3x+1); 62 centimeters
D
2(5x−2)+2(3x+1); 70 centimeters

Explanation

A rectangle’s perimeter is twice its length plus twice its width: 2(5x − 2) + 2(3x + 1). For x = 4, the length is 5(4) − 2 = 18 and the width is 3(4) + 1 = 13. The perimeter is 2(18) + 2(13) = 62 centimeters, so the correct choice is C.

AI-written and checked against the verified answer.

Previous
Next