A Rectangular Surface of Sides 10cm and 15cm
A rectangular surface with sides of 10cm and 15cm has several interesting properties:
Area
The area of a rectangle is calculated by multiplying its length and width. In this case:
Area = Length x Width = 10cm x 15cm = 150cm²
Perimeter
The perimeter of a rectangle is the total length of all its sides. For this rectangle:
Perimeter = 2 x (Length + Width) = 2 x (10cm + 15cm) = 50cm
Diagonal
The diagonal of a rectangle divides it into two right-angled triangles. We can use the Pythagorean theorem to find the length of the diagonal:
Diagonal² = Length² + Width² = 10cm² + 15cm² = 325cm²
Diagonal = √325cm² ≈ 18.03cm
Other Properties
- Parallel Sides: Opposite sides of a rectangle are parallel and equal in length.
- Right Angles: All four angles of a rectangle are right angles (90 degrees).
- Symmetry: A rectangle is symmetrical about its two diagonals and its two axes of symmetry, which are the lines passing through the midpoints of opposite sides.
This rectangular surface is a simple example that can be used to understand and apply basic geometric concepts like area, perimeter, and the Pythagorean theorem. It also demonstrates the important properties of rectangles and their use in various applications.
