Question

Select the correct answer. Each side of a square is ( x - 5) units. Which expression can be used to represent the area to the square? A.) X^2 - 5x - 10B.) X^2 - 5x + 10C.) X^2 - 10x - 25 D.) X^2 - 10x + 25

Answer 1

Let's recall the formula for getting the area of a square:

`\text{ Area = s}^2`

Given,

s = x - 5

To get the expression that best represents the area of the square, let's substitute the value of s in the formula.

`\text{ Area = s}^2`
`\text{ Area = (x}-5)^2\text{ = (x - 5)(x - 5)}`
`\text{ Area = x}^2-5x-5x+25=x^2\text{ - 10x + 2}5`

Therefore, the answer is letter D.