Pregunta
The perimeter of a square is 20 feet. What is the area? \( 5 f t^{2} \) \( 25 f t^{2} \) \( 12.5 f t^{2} \) \( 10 f t^{2} \) QuESTION Q
Ask by Burns Gonzalez. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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The area of the square is \( 25\, f t^{2} \).
Solución
To determine the area of the square given its perimeter, follow these steps:
1. **Calculate the Side Length:**
- The perimeter \( P \) of a square is given by:
\[
P = 4 \times \text{side length}
\]
- Given \( P = 20 \) feet:
\[
\text{side length} = \frac{20 \text{ feet}}{4} = 5 \text{ feet}
\]
2. **Calculate the Area:**
- The area \( A \) of a square is given by:
\[
A = \text{side length}^2
\]
- Substituting the side length:
\[
A = 5^2 = 25 \text{ square feet}
\]
**Correct Answer:**
\[
25\, f t^{2}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Beyond the Answer
To find the area of a square, you first need to determine the length of one side. Since the perimeter is 20 feet, you can divide this by 4 (because a square has four equal sides): \( 20 ÷ 4 = 5 \) feet. The area is then calculated by squaring the length of a side: \( 5 ft × 5 ft = 25 ft² \). Now, if you ever get lost in problem-solving, remember to double-check your perimeter-to-side length conversions. It's easy to misplace a zero or skip a math step, but ensuring you follow the order of operations can save you from common pitfalls!
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