Area of Compound Shapes
Learn how to find the area of compound shapes by splitting them into simple shapes and adding or subtracting areas. Let’s get started! 🚀
Video Lesson
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Flashcards
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🛎️ Area of a Compound Shape
- A compound shape is made by joining two or more simple shapes.
- To find the area, break it into familiar shapes such as rectangles, triangles, or circles.
🛎️ - Example: Two Rectangles
- An L-shaped figure can be split into two rectangles.
- Find each rectangle’s area using length × width.
- Add the two areas to get the total area.
🛎️ Example: Mixed Shapes
- Find the area of each shape separately, such as a rectangle and a triangle.
- The triangle area formula is .
- Add the areas together to get the total area.
🛎️ Real-Life Application
- Always calculate the total area before finding costs.
- Subtract areas for holes like doors or windows.
- Multiply the area by the price per square metre.
Practice Questions
Test your understanding
A compound shape is made of a square of , and a rectangle of . What is the area of the compound shape?
Correct! 🎉 +10 pointsNot quite right
To find the area of the compound shape, simply add the areas of the square () and the rectangle (). This gives you .
A compound shape is made of a square of , and a triangle of . What is the area of the compound shape?
Correct! 🎉 +10 pointsNot quite right
To find the area of the compound shape, add the areas of the square and the triangle: .
A compound shape consists of a rectangle with an area of and a triangle with a base of and a height of . What is the area of the compound shape?
Correct! 🎉 +20 pointsNot quite right
The area of the triangle is . Adding this to the rectangle’s area () gives a total area of .
A compound shape consists of a rectangle with a length of and a width of , and a triangle with an area of . What is the area of the compound shape?
Correct! 🎉 +20 pointsNot quite right
The rectangle’s area is length width: . Adding the triangle’s area () gives a total of .
A compound shape consists of a square with side length of and two triangles, each having an area of . What is the area of the compound shape?
Correct! 🎉 +20 pointsNot quite right
The square’s area is side side: . The two triangles have a total area of . Adding them gives .
A compound shape consists of a rectangle with a length of and a width of , and a semicircle with a radius of . What is the area of the compound shape?
Correct! 🎉 +30 pointsNot quite right
The area of the rectangle is . The area of the semicircle is half the area of a full circle: . Adding them gives .
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Practice: Area of Compound Shape
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