To find the area of the rectangle, we first need to determine its dimensions based on the information given.
The rectangle's height is given as 5 centimeters. Since the rectangle is twice as long as it is tall, the length will be:
\[ \text{Length} = 2 \times \text{Height} = 2 \times 5 , \text{cm} = 10 , \text{cm} \]
Next, we can calculate the area of the rectangle using the formula for the area of a rectangle:
\[ \text{Area} = \text{Length} \times \text{Height} \]
Substituting the dimensions we found:
\[ \text{Area} = 10 , \text{cm} \times 5 , \text{cm} = 50 , \text{cm}^2 \]
So, the area of the rectangle is 50 cm².