Question

The measure of one side of a square is (x + 4). What is the difference of the area of the square and the

perimeter of the square?
a. 2(x+4)
b. x(x +4)
C. 2x+4

Answer 1

Answer: (A) 2(x + 4)

Step-by-step explanation: We know that the measure of one side of the square is (x + 4). But, we first will need to find the total area and perimeter of the square in order to find the difference between them.

The area is length x width, so multiply 2(x + 4) Since all the sides are the same.

2(x + 4) = 2x + 8. The area is 2x + 8.

To find the perimeter simply add x + 4, four times. 4(x + 4).

4(x + 4) = 4x + 16 as the total perimeter of the square.

Now subtract the area from the perimeter.

4x + 16 - (2x + 8) --Distribute negative sign.

4x + 16 - 2x - 8 --Combine like terms

4x - 2x + 16 - 8

2x + 8.

2(x + 4) is equivalent to 2x + 8 and is therefore the answer.