Rectangle (Rechteck) and Parallelogram (Parallelogramm)

This page covers the calculations for rectangles and parallelograms, demonstrating how to find their perimeters and areas.

For the rectangle, the dimensions are given as a = 6 cm and b = 4 cm. The formulas and calculations are as follows:

Umfang Rechteck (Perimeter): u = 2 • $a + b$ u = 2 • $6 + 4$ u = 20 cm

Flächeninhalt Rechteck (Area): A = a • b A = 6 • 4 A = 24 cm²

Highlight: The perimeter of a rectangle is calculated by adding all side lengths, while the area is found by multiplying length by width.

For the parallelogram, the dimensions are a = 6 cm, b = 5 cm, and ha (height) = 4 cm. The calculations are:

Parallelogramm Flächeninhalt (Area): A = a • ha A = 6 • 4 A = 24 cm²

Formel Parallelogramm Flächeninhalt (Perimeter): u = 2 • a + 2 • b u = 2 • 6 + 2 • 5 u = 22 cm

Vocabulary: ha represents the height of the parallelogram, which is perpendicular to the base.

Example: A parallelogram with base 6 cm, side 5 cm, and height 4 cm has a perimeter of 22 cm and an area of 24 cm².

Square (Quadrat)

This section focuses on calculating the area and perimeter of a square with side length 3 cm.

Definition: A square is a regular quadrilateral with four equal sides and four right angles.

The formulas for calculating the perimeter and area of a square are presented:

Highlight: For a square, the perimeter is calculated by multiplying the side length by 4, while the area is calculated by squaring the side length.

Umfang Rechteck (Perimeter): u = 4 • a u = 4 • 3 u = 12 cm

Flächeninhalt Rechteck (Area): A = a • a = a² A = 3 • 3 A = 9 cm²

Example: For a square with side length 3 cm, the perimeter is 12 cm and the area is 9 cm².