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.
