Question

The length of one side of a square is defined by the expression s=2x^2y/ xy^0
. What is the simplified form of the expression that represents its area, given A=s^2
?(1 point)

Answer 1

To find the area \( A \) of the square, we first simplify the expression for the side length \( s \):

The expression for the side length is given as:

\[
s = \frac{2x^2y}{xy^0}
\]

Since \( y^0 = 1 \), we can simplify this to:

\[
s = \frac{2x^2y}{x} = 2xy
\]

Next, we use the formula for the area \( A \) of a square, which is \( A = s^2 \):

\[
A = (2xy)^2
\]

Now we simplify \( (2xy)^2 \):

\[
A = 4x^2y^2
\]

Thus, the simplified form of the expression that represents the area is:

\[
\boxed{4x^2y^2}
\]