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

b. x(x +4)

Explanation:

The perimeter is 4 times the length of one side, so is ...

P = 4(x +4)

The area is the square of the length of one side, so is ...

A = (x +4)(x +4)

The difference in these values is ...

A - P = (x +4)(x +4) - 4(x +4)

The latter factor can be factored out to give ...

A - P = (x +4 -4)(x +4)

A - P = x(x +4) . . . matches B