Yeinly
contestada

The expression s2 is the area of a square, where s is the side length of the square. What does the expression (6x)2 represent?
A) the area of a square with a side length of 6
B) the area of a square with a side length of 12
C) the area of a square with a side length of 3x
D) the area of a square with a side length of 6x

Respuesta :

d) the area with side length 6x

Answer:

The correct option is D.

Step-by-step explanation:

The area of a square with side s is defined as

[tex]A=s\times s[/tex]

[tex]A=s^2[/tex]                  .... (1)

The given expression is

[tex]A=(6x)^2[/tex]             .... (2)

From (1) and (2), we get

[tex]s=6x[/tex]

It means the expression [tex](6x)^2[/tex] represents the area of a square with a side length of 6x .

Therefore the correct option is D.