The area of a square is 49 square cm. What is its perimeter?


The area of a square is given by the formula:

\[
\text{Area} = s^2
\]

where \( s \) is the length of one side of the square. In this case, the area is 49 square cm, so we can find the side length by solving:

\[
s^2 = 49
\]

Taking the square root of both sides:

\[
s = \sqrt{49} = 7 \, \text{cm}
\]

The perimeter of a square is given by the formula:

\[
\text{Perimeter} = 4 \times s
\]

Substituting \( s = 7 \) cm:

\[
\text{Perimeter} = 4 \times 7 = 28 \, \text{cm}
\]

Thus, the perimeter of the square is 28 cm.

Would you like more details or have any questions?

Here are 5 related questions:
1. If the area of a square is doubled, what happens to its perimeter?
2. What would be the side length of a square with an area of 81 square cm?
3. How do you calculate the diagonal of a square given its side length?
4. If the perimeter of a square is 20 cm, what is its area?
5. How is the area of a rectangle different from that of a square?

**Tip**: To find the side length of a square from its area, simply take the square root of the area.

The area of a square is 49 square cm. What is its perimeter?

Learn how to find the perimeter of a square when given its area of 49 square cm. This geometry problem is solved step-by-step, showing how to calculate the side length and use it to find the perimeter. Suitable for students in Grades 5-7.

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