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)

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.

828. all there is to it!

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