Question

Each side of a square is (x - 5) units, which expression can be used to represent the area of the square?

A) 12−10.3+25
B) 12−101−25
C) 12−51+10
D) 12−51−10

Answer 1

The expression to represent the area of a square with sides (x - 5) units is x^2 - 10x + 25, which is obtained by squaring the binomial (x - 5).

Step-by-step explanation:

The question asks for the expression that can be used to represent the area of a square when each side of the square is given by the expression (x - 5) units. To find the area of a square, you multiply the length of one side by itself (since all sides are equal in a square).

The area A of the square can be found using the formula:

A = side × side

Substituting (x - 5) for the side, we get:

A = (x - 5) × (x - 5)

Applying the FOIL method (First, Outer, Inner, Last) to expand the binomials, we have:

A = x^2 - 5x - 5x + 25

Combining like terms, we get:

A = x^2 - 10x + 25

Therefore, the correct expression to represent the area of the square is x^2 - 10x + 25, which is not listed as one of the original answer options provided by the student.