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(4) + 4(8x) 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)

The student ought to be factoring 4 from the terms in the area expression. The appropriate choice is ...

... Step 2; 4(2) + 4(3x)

The correct option is 2.

Step-by-step explanation:

It is given that the area of a rectangle is 8+12x and width of the rectangle is 4.

We need to find the dimensions of the rectangle.

Area of a rectangle is

It means the factors of expression of area represent the dimensions.

The correct steps are shown below:

Step 1: 8 + 12x

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

Step 3: 4(2 + 3x)

Step 4: Dimensions of the rectangle are 4 and 2 + 3x.

Student made an error in step 2 and the correct step is 4(2) + 4(3x). Therefore the correct option is 2.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

positive

step-by-step explanation:

the quadrant is facing upwards