3.5.8 Rectangle Part 3 Answers
What are the Key Concepts in Rectangle Part 3?
In Rectangle Part 3, students are expected to demonstrate their understanding of rectangles and their properties. The key concepts in this section include:
Perimeter and Area of Rectangles
- Students should be able to find the perimeter and area of rectangles using the formulas
P = 2(l + w)andA = l × w, respectively. - They should also be able to apply these formulas to real-world problems.
Properties of Rectangles
- Students should be familiar with the properties of rectangles, including opposite sides of equal length, opposite angles of equal measure, and diagonals of equal length.
- They should be able to identify and explain these properties in different contexts.
Rectangular Shapes in Real-World Applications
- Students should be able to recognize and apply rectangular shapes in real-world scenarios, such as rooms, buildings, and gardens.
Answer Key for Rectangle Part 3 Exercises
Here are the answers to some of the exercises in Rectangle Part 3:
Exercise 1: Finding Perimeter and Area
- Find the perimeter and area of a rectangle with a length of 8 cm and a width of 5 cm.
- Perimeter:
P = 2(8 + 5) = 26 cm - Area:
A = 8 × 5 = 40 cm²
- Perimeter:
Exercise 2: Identifying Rectangle Properties
- Identify the properties of a rectangle with a length of 10 cm and a width of 6 cm.
- Opposite sides of equal length: Yes
- Opposite angles of equal measure: Yes
- Diagonals of equal length: Yes
Exercise 3: Real-World Application
- A rectangular garden measures 15 meters by 8 meters. Find the perimeter and area of the garden.
- Perimeter:
P = 2(15 + 8) = 46 m - Area:
A = 15 × 8 = 120 m²
- Perimeter:
Conclusion
In Rectangle Part 3, students are expected to apply their knowledge of rectangles to various problems and scenarios. By mastering the key concepts and properties of rectangles, students can develop their problem-solving skills and become more confident in their math abilities.
