Rectangle
A rectangle is a quadrilateral (a polygon with four sides) that has opposite sides parallel and equal in length
A rectangle is a quadrilateral (a polygon with four sides) that has opposite sides parallel and equal in length. It is one of the most fundamental shapes in geometry.
Let’s go through some key properties and formulas related to rectangles:
1. Sides: A rectangle has four sides. The two pairs of opposite sides are parallel and equal in length.
2. Angles: Each angle in a rectangle measures 90 degrees, making it a right angle.
3. Diagonals: The diagonals of a rectangle are equal in length and bisect each other at a right angle.
4. Perimeter: The perimeter of a rectangle is calculated by adding the lengths of all four sides. If we denote the length of the rectangle as L and the width as W, then the perimeter can be represented as: Perimeter = 2L + 2W.
5. Area: The area of a rectangle is calculated by multiplying the length and width. So, the formula for the area is: Area = Length × Width or A = L × W.
6. Diagonal Length: The length of the diagonal in a rectangle can be found using the Pythagorean theorem. If L represents the length and W represents the width, then the diagonal length (D) can be found using the formula: D = √(L^2 + W^2).
7. Square: A square is a special type of rectangle where all the sides are equal in length, and each angle measures 90 degrees.
It is important to note that these formulas and properties apply specifically to rectangles. Other quadrilaterals, such as parallelograms or rhombuses, have different formulas and properties.
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