๐ Understanding Squares and Rectangles
Let's explore the world of squares and rectangles! While they might look similar, there are key differences that set them apart.
๐ Definition of a Square
A square is a special type of rectangle! It's a four-sided shape where:
- โญ All four sides are equal in length.
- โจ All four angles are right angles (90 degrees).
๐ช Definition of a Rectangle
A rectangle is a four-sided shape where:
- โ
Opposite sides are equal in length.
- โ๏ธ All four angles are right angles (90 degrees).
๐ Square vs. Rectangle: Key Differences
| Feature |
Square |
Rectangle |
| Sides |
All 4 sides are equal |
Opposite sides are equal |
| Angles |
All 4 angles are right angles |
All 4 angles are right angles |
| Special Property |
A special type of rectangle |
A general four-sided shape with right angles |
| Formula for Area |
Area = side * side = $s^2$ |
Area = length * width = $l*w$ |
| Formula for Perimeter |
Perimeter = 4 * side = $4s$ |
Perimeter = 2 * (length + width) = $2(l+w)$ |
๐ Key Takeaways
- ๐ A square is always a rectangle, but a rectangle is not always a square.
- ๐ก If all sides of a rectangle are equal, then it becomes a square.
- ๐ Both squares and rectangles have four right angles.
- โ The area of a square with side length $s$ is $s \times s = s^2$.
- โ The perimeter of a square with side length $s$ is $4 \times s = 4s$.
- ๐ The area of a rectangle with length $l$ and width $w$ is $l \times w = lw$.
- ๐ The perimeter of a rectangle with length $l$ and width $w$ is $2 \times (l + w) = 2(l+w)$.
