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What is the area of a rectangular flat surface that has a length of [tex]10^{\prime}[/tex] and a height of [tex]20^{\prime}[/tex]?

A. [tex]10 \, ft^2[/tex]
B. [tex]30 \, ft^2[/tex]
C. [tex]100 \, ft^2[/tex]
D. [tex]200 \, ft^2[/tex]


Sagot :

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].