To find the area of the rectangle, you can use the formula for the area of a rectangle:
\[ \text{Area} = \text{length} \times \text{height} \]
From the information given, the height of the rectangle is 5 centimeters, and since the rectangle is twice as long as it is tall, its length is:
\[ \text{length} = 2 \times \text{height} = 2 \times 5 , \text{cm} = 10 , \text{cm} \]
Now plug the length and height into the area formula:
\[ \text{Area} = \text{length} \times \text{height} = 10 , \text{cm} \times 5 , \text{cm} = 50 , \text{cm}^2 \]
Therefore, the area of the rectangle is 50 cm².