Area by Adding Parts
Area by Adding Parts is a skill on Pengi from Lesson 37: Areas of Combined Polygons in Saxon Math, Course 3.
Key Concepts
Property The area of some polygons can be found by dividing the polygon into smaller parts and finding the area of each part.
Examples A trapezoid is split into a rectangle and a triangle. Area = $(7 \cdot 5) + \frac{1}{2}(2 \cdot 5) = 35 + 5 = 40 \text{ cm}^2$. An L shaped figure is split into two rectangles. Area = $(8 \text{ ft} \cdot 6 \text{ ft}) + (4 \text{ ft} \cdot 4 \text{ ft}) = 48 + 16 = 64 \text{ ft}^2$.
Explanation Think of a weirdly shaped polygon as a puzzle! You can't solve it all at once. So, you break it into easy shapes you already know, like rectangles and triangles. Find the area of each piece, add them all up, and voilà! You have solved the big puzzle and found the total area.
Common Questions
What is Area by Adding Parts?
Area by Adding Parts is a skill on Pengi from Lesson 37: Areas of Combined Polygons in Saxon Math, Course 3.
What grade level is Area by Adding Parts for?
Area by Adding Parts is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Area by Adding Parts?
Pengi offers an AI-guided lesson for Area by Adding Parts that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Area by Adding Parts?
After learning the concept, use the Practice mode to work through targeted exercises on Area by Adding Parts. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Area by Adding Parts?
Area by Adding Parts is covered in Saxon Math, Course 3, specifically in Chapter 4: Algebra • Measurement under Lesson 37: Areas of Combined Polygons. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Area by Adding Parts free to study on Pengi?
Yes, the core Learn and Practice modes for Area by Adding Parts are available for free on Pengi. No credit card is required to start studying.