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4 February, 05:00

The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:

Step 1: 8 + 12x

Step 2: 4 (2) 4x2)

Step 3: 4 (4 + 8x)

Step 4: Dimensions of the rectangle are 4 and 4 + 8x

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

Step 2: 4 (2) + 4x (2)

Step 2: 4 (2) + 4 (3x)

Step 3: 4 + (4+8x)

Step 3: 4 + (4• 8x)

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Answers (1)
  1. 4 February, 08:47
    0
    Step 2: 4 (2) + 4 (3x)

    Step-by-step explanation:

    By definition, the area of a rectangle is given by:

    Area = Length * Width

    In this case, we know that:

    Area = 8 + 12x

    Width = 4

    Therefore:

    Step 1: 8 + 12x

    Step 2: 4 (2) + (4) (3x)

    Step 3: 4 (2 + 3x)

    Therefore, the dimensions of the rectangle are 4 and 2 + 3x.

    The mistake was made in STEP 2. Instead of 4 (2) + 4 (x2) it should be 4 (2) + 4 (3x). Which is the second option.
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