Question

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

Answer 1

d) the area with side length 6x

Answer 2

The correct option is D.

Explanation:

The area of a square with side s is defined as

`A=s* s`

`A=s^2` .... (1)

The given expression is

`A=(6x)^2` .... (2)

From (1) and (2), we get

`s=6x`

It means the expression
`(6x)^2` represents the area of a square with a side length of 6x .

Therefore the correct option is D.