Question

Braelyn is writing an equation to represent the perimeter of a rectangle with the width equal to half the length. She knows that the perimeter is equal to 18 units and needs to find the length and width of the rectangle. Which equations represent this relationship? Check all that apply. x + one-half x = 18 2 x + x = 18 2 (x) + 2 (2 x) = 18 x + one-half x + x + one-half x = 18 2 (x + one-half x) = 18 2 x + one-half x = 18

Answer 1

2, 3, 4, 5

Explanation:

2. 2 x + x = 18

3. 2 (x) + 2 (2 x) = 18

4. x + 1/2 x + x + 1/2 x = 18

5. 2 (x + 1/2 x) = 18

I got it right on edge!!

Answer 2

• 2, 3, 4,5 are correct options

Explanation:

• Perimeter of a rectangle equals to twice the sum of length and width:

• P= 2(l+w)

Here we have:

• P = 18
• w= l/2

If we assume width = x, then:

• l = 2x
• 2(x+2x) = 18 or
• 2x + 4x = 18

If we assume length = x, then:

• w = 1/2x
• 2(x + 1/2x) = 18 or
• 2x + x = 18

Answer options:

1. x + one-half x = 18 === incorrect
2. 2 x + x = 18 === correct
3. 2 (x) + 2 (2 x) = 18 === correct
4. x + one-half x + x + one-half x = 18 === correct, same as second option
5. 2 (x + one-half x) = 18 === correct, same as second option
6. 2 x + one-half x = 18 === incorrect