A rectangle is a quadrilateral that has:
- Four equal right angles of 90 degrees each
- Two by two equal opposite sides
- Two by two opposite parallel sides
The perimeter
The formula for calculating the perimeter for this 2D shape is:
The same formula written using multiples in a shorter form is:
Example number 1. Calculate the perimeter of a rectangle if the length of its longer side is 5cm and the length of its shorter side is 3cm.
To solve the task from example number one, it is enough to:
a) Calculate the sum of the lengths of all four sides. The collections are: in two places the longer side and in two places the shorter side: L=5cm+3cm+5cm+3cm
b) To calculate a sum of two different doublings of the values of the longer and shorter side of the shape.
The perimeter is 16 centimeters!
Area of a rectangle
The formula for calculating the area of a rectangle is:
Example number 2. Calculate the area of a rectangle if the length of its longer side is 5cm and the length of its shorter side is 3cm.
To calculate the area of the shape, it is enough to calculate the product of the lengths of its sides (the shorter one with the longer one).
The area is 15 square centimeters!
Formulas for calculating the perimeter and area of a rectangle are an integral part of tasks in which you need to calculate the perimeter and area of complex figures. Also, formulas are used as part of a task to calculate the area of certain geometric bodies that have a side or more sides that have the shape of a rectangle.
Perimeter and area are directly proportional to the lengths of the sides of the rectangle. The bigger the sides of the rectangle, the bigger its area and perimeter!
A rectangle has two diagonals of equal length same as a square. The two diagonals are cut exactly in half and form two equal angles. This geometric figure has two axes of symmetry.
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