Question

The area, A, of a square is equivalent to the square of its side lengths.

A = (6)(6) square units. A = ___ square units.

A = (x)(x) square units. A = ___ square units.

A = (x+x) square units. A = ___ square units.

A. 36; x^2; 2x

B. 6; x^2; 2x^2

C. 12; 2x; x^2

D. 12; x^2; x+x

Answer 1

The area of a square can be calculated by squaring its side length. The expression x + x represents 2x, which is the sum of the side lengths.

Step-by-step explanation:

The area of a square is equal to the square of its side length. Given that the side length of the square is 6 units, the area can be calculated as follows:

A = (6)(6) = 36 square units.

In general, the area of a square with side length x can be represented as A = x^2 square units.

Additionally, the expression x + x represents the sum of the side lengths of the square, which is equal to 2x. Therefore, the area can also be represented as A = 2x square units.