Rectangular

Definition

A rectangle is a four-sided polygon (quadrilateral) with opposite sides being parallel and equal in length. It also has four right angles.

Properties of a Rectangle

• Opposite sides are equal and parallel.
• Each angle is a right angle (90 degrees).
• Diagonals are equal in length and bisect each other.
• The sum of the lengths of all four sides is the perimeter of the rectangle.
• The area of a rectangle can be found using the formula: Area = length x width.

Formulas

Perimeter of a Rectangle = 2(length + width)

Area of a Rectangle = length x width

Example Problems

Example 1: Find the perimeter and area of a rectangle with length 5 cm and width 3 cm.

Solution:
Perimeter = 2(5 + 3) = 2(8) = 16 cm
Area = 5 x 3 = 15 square cm

Example 2: If the area of a rectangle is 24 square units and the length is 6 units, find the width of the rectangle.

Solution:
Area = length x width
24 = 6 x width
width = 24 / 6 = 4 units

Study Guide

To study rectangles, make sure to understand the properties, formulas for perimeter and area, and how to solve problems related to rectangles. Practice calculating the perimeter and area of rectangles with different dimensions. Also, understand the relationship between the length, width, perimeter, and area of a rectangle.

For further practice, you can create your own rectangle problems and solve them to reinforce your understanding of the topic.

Remember to always keep track of the units (such as cm, m, etc.) when working with rectangles to ensure the final answer includes the correct units of measurement.