To solve the problem, we need to determine both the area and the perimeter of a square with side length \(7 \, \text{cm}\).
Step-by-Step Solution
1. Calculate the Area:
The area \(A\) of a square is given by the formula:
[tex]\[ A = \text{side length} \times \text{side length} \][/tex]
Here, the side length is \(7 \, \text{cm}\).
So,
[tex]\[ A = 7 \, \text{cm} \times 7 \, \text{cm} \][/tex]
Thus, the area is:
[tex]\[ A = 49 \, \text{cm}^2 \][/tex]
2. Calculate the Perimeter:
The perimeter \(P\) of a square is given by the formula:
[tex]\[ P = 4 \times \text{side length} \][/tex]
Again, the side length is \(7 \, \text{cm}\).
So,
[tex]\[ P = 4 \times 7 \, \text{cm} \][/tex]
Thus, the perimeter is:
[tex]\[ P = 28 \, \text{cm} \][/tex]
Summary
- The area of the square is \(49 \, \text{cm}^2\).
- The perimeter of the square is [tex]\(28 \, \text{cm}\)[/tex].
