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Sagot :
To determine the length of each side of a square window given its perimeter, we can follow these steps:
1. Understand the formula for the perimeter of a square:
- The perimeter [tex]\( P \)[/tex] of a square can be calculated using the formula:
[tex]\[ P = 4 \times \text{side length} \][/tex]
- Here, the perimeter is given as 80 inches.
2. Set up the equation with the given perimeter:
- Since [tex]\( P = 80 \)[/tex]:
[tex]\[ 80 = 4 \times \text{side length} \][/tex]
3. Solve for the side length:
- To find the side length, divide both sides of the equation by 4:
[tex]\[ \text{side length} = \frac{80}{4} \][/tex]
- Simplifying this:
[tex]\[ \text{side length} = 20 \, \text{inches} \][/tex]
4. Compare the calculated side length with the given choices:
- The options provided are:
- A. 15 inches
- B. 20 inches
- C. 40 inches
- D. 60 inches
- The calculated side length is 20 inches.
Therefore, the correct answer is:
B. 20 inches
1. Understand the formula for the perimeter of a square:
- The perimeter [tex]\( P \)[/tex] of a square can be calculated using the formula:
[tex]\[ P = 4 \times \text{side length} \][/tex]
- Here, the perimeter is given as 80 inches.
2. Set up the equation with the given perimeter:
- Since [tex]\( P = 80 \)[/tex]:
[tex]\[ 80 = 4 \times \text{side length} \][/tex]
3. Solve for the side length:
- To find the side length, divide both sides of the equation by 4:
[tex]\[ \text{side length} = \frac{80}{4} \][/tex]
- Simplifying this:
[tex]\[ \text{side length} = 20 \, \text{inches} \][/tex]
4. Compare the calculated side length with the given choices:
- The options provided are:
- A. 15 inches
- B. 20 inches
- C. 40 inches
- D. 60 inches
- The calculated side length is 20 inches.
Therefore, the correct answer is:
B. 20 inches
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