Rectangle Properties: Diagonals, Perimeter, Area, And Angle Properties

Rectangle

A parallelogram that has four right angles

A rectangle is a quadrilateral with four right angles (90 degree angles) and opposite sides that are parallel to each other. It is a special case of a parallelogram where all angles are right angles. The opposite sides of a rectangle are equal in length, which means it has two pairs of parallel sides.

A rectangle also possesses important properties that include:

1. Diagonals: The diagonals of a rectangle are equal in length and bisect each other.

2. Perimeter: The perimeter of a rectangle is the sum of the lengths of all its sides, which means the formula for perimeter of a rectangle is P = 2(l+w), where P is the perimeter, l is the length, and w is the width.

3. Area: The formula for the area of a rectangle is A = l x w, where A is the area, l is the length and w is the width.

4. Angle properties: All the four interior angles of a rectangle are equal i.e., 90 degrees.

Rectangles are often used in geometry and in practical applications such as in construction, graphic design, and architecture. They are also used to introduce students to the concept of area, perimeter, and basic geometry.

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