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What is the area of a square that has a perimeter of 4 feet?

A. 1 square foot
B. 2 square feet
C. 3 square feet
D. 4 square feet


Sagot :

To determine the area of a square given its perimeter, let's follow these steps:

1. Understand the relationship between the perimeter and the side length:
- The formula for the perimeter [tex]\( P \)[/tex] of a square with side length [tex]\( s \)[/tex] is [tex]\( P = 4s \)[/tex].

2. Calculate the side length:
- Given the perimeter is 4 feet, we can find the side length by dividing the perimeter by 4:
[tex]\[ s = \frac{P}{4} = \frac{4 \text{ feet}}{4} = 1 \text{ foot} \][/tex]

3. Calculate the area:
- The area [tex]\( A \)[/tex] of a square is found by squaring the side length:
[tex]\[ A = s^2 = (1 \text{ foot})^2 = 1 \text{ square foot} \][/tex]

Therefore, the area of the square is [tex]\(\boxed{1 \text{ square foot}}\)[/tex].

Among the given options, the correct answer is:
- 01 square foot