To determine the area of a rectangular surface, we need to use the formula for the area of a rectangle:
[tex]\( \text{Area} = \text{length} \times \text{height} \)[/tex]
Given the dimensions in the problem:
- The length of the rectangle is [tex]\(10\)[/tex] feet.
- The height of the rectangle is [tex]\(20\)[/tex] feet.
To calculate the area, we multiply the length by the height:
[tex]\[ \text{Area} = 10 \, \text{ft} \times 20 \, \text{ft} = 200 \, \text{ft}^2 \][/tex]
So, the area of the rectangular surface is [tex]\(200 \, \text{ft}^2\)[/tex].
Among the given choices:
- [tex]\(10 \, \text{ft}^2\)[/tex]
- [tex]\(30 \, \text{ft}^2\)[/tex]
- [tex]\(100 \, \text{ft}^2\)[/tex]
- [tex]\(200 \, \text{ft}^2\)[/tex]
The correct answer is [tex]\(200 \, \text{ft}^2\)[/tex].
