Question

A rectangle is three times as long as it is wide. Mrs. Williams asks her students to write an expression to represent the perimeter of the rectangle if

w represents the measure of its width. Four students offer their answers. Which student's answer is incorrect?

A) 6w
B) 3w
C) 9w
D) 2w+3w

Answer 1

In this question, students are asked to write an expression to represent the perimeter of a rectangle that is three times as long as it is wide. Three out of four students provided the correct expression, while one student provided an incorrect answer.

Step-by-step explanation:

In this question, Mrs. Williams asks students to write an expression to represent the perimeter of a rectangle that is three times as long as it is wide. Let's consider the options given by each student:

1. Student A: The expression is 6w. This is just multiplying the width by 6, which represents the sum of all sides of the rectangle. It is correct.
2. Student B: The expression is 3w. This is multiplying the width by 3, which only represents two sides of the rectangle. It is incorrect.
3. Student C: The expression is 9w. This is multiplying the width by 9, which represents three sides of the rectangle. It is correct.
4. Student D: The expression is 2w+3w. This simplifies to 5w, which represents the sum of all sides of the rectangle. It is correct.

Therefore, the incorrect answer is given by student B with the expression 3w.