Answer :

Answer:

16π

Step-by-step explanation:

To find the area of the ellipse with the equation

2

16

+

2

16

=

1

16

x

2

+

16

y

2

=1, we need to use the formula for the area of an ellipse:

=

×

×

A=π×a×b

Where:

A is the area of the ellipse,

a is the length of the semi-major axis,

b is the length of the semi-minor axis.

In this case, the semi-major axis

a and semi-minor axis

b are both

4

4 (since

2

=

16

a

2

=16 and

2

=

16

b

2

=16), so:

=

×

4

×

4

A=π×4×4

=

×

16

A=π×16

Thus, the area of the ellipse is

16

16π square units.