Question

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The work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:

Step 1: 8 + 16x
Step 2: 4(4) + 4(12x)
Step 3: 4(4 + 12x)
Step 4: Dimensions of the rectangle are 4 and 4 + 12x


In which step did the student first make an error and what is the correct step?

1)

Step 3; 4 + (4 + 12x)


2)

Step 3; 4 + (4 ⋅ 12x)


3)

Step 2; 4(2) + 4(4x)


4)

Step 2; 4(2) + 4x(2)

Answer 1

Answer:

3

Step-by-step explanation:

If you divide 8 +  16x, you get 4(2) + 4(4x), not 4(4) + 4(12)

He subtracted instead of dividing.

4 is wrong because it says 4x(2). You are dividing by 4, not 4x

Answer 2

Answer:

The answer is 3

Step-by-step explanation:

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