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) + 4x (2)

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 + (48X)

Step-by-step explanation:

Option 3rd is correct

Step-by-step explanation:

Area of a rectangle is given by:

where

l is the length and w is the width of the rectangle

As per the statement:

To find the dimensions of a rectangle of area 8 + 16x and width 4.

Step 1.

Step 2.

Step 3.

Step 4.

Dimensions of the rectangle are 4 and 2 + 4x

Since, the student make an error in the Step 2

Therefore, the correct step is, 4 (2) + 4 (4x)