Rectangle Study Guide
Definition
A rectangle is a four-sided polygon with opposite sides that are equal in length and all interior angles are right angles (90 degrees).
Properties of a Rectangle
- All angles are right angles (90 degrees).
- Opposite sides are equal in length.
- Diagonals are of equal length and bisect each other.
- The perimeter of a rectangle is given by 2*(length + width).
- The area of a rectangle is given by length * width.
Formulas
Perimeter = 2*(length + width)
Example Problems
1. Find the perimeter of a rectangle with length 5 cm and width 3 cm.
Solution: Perimeter = 2*(5 + 3) = 2*8 = 16 cm
2. Find the area of a rectangle with length 7 cm and width 4 cm.
Solution: Area = 7 * 4 = 28 square cm
Practice Questions
- Find the perimeter of a rectangle with length 10 m and width 6 m.
- Find the area of a rectangle with length 12 m and width 8 m.
- If the area of a rectangle is 35 square units and the length is 7 units, what is the width?
Conclusion
Rectangles are important geometric shapes with specific properties and formulas for calculating perimeter and area.
[Rectangle] Related Worksheets and Study Guides:
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The resources above cover the following skills:
Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.
Use models, benchmarks, and equivalent forms to judge the size of fractions.
Algebra (NCTM)
Use mathematical models to represent and understand quantitative relationships.
Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.