Practice Area And Perimeter Of Compound Shapes (4.4) - Unit 3: Geometry of Shapes & Space: Exploring Form and Measurement
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Area and Perimeter of Compound Shapes

Practice - Area and Perimeter of Compound Shapes

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the area of a rectangle that is 10 cm long and 4 cm wide.

💡 Hint: Use the formula: Area = length × width.

Question 2 Easy

What is the perimeter of a triangle with sides of 3 cm, 4 cm, and 5 cm?

💡 Hint: Add all the side lengths.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the correct method for finding the area of a compound shape by separating it into simpler shapes?

Decomposition
Integration
Estimation

💡 Hint: Think about how we simplify complex shapes.

Question 2

True or False: The perimeter of a compound shape only includes the interior lines.

True
False

💡 Hint: Consider what perimeter means.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate the total area and perimeter of a compound shape consisting of a rectangle (8 cm by 4 cm) and an equilateral triangle with a side of 4 cm attached to one side.

💡 Hint: Remember to find the area for each part and sum them.

Challenge 2 Hard

A composite shape consists of a semi-circle (radius 3 cm) and a rectangle (length 7 cm, width 3 cm). Calculate the total area and perimeter.

💡 Hint: Caution with perimeter - ensure not to double-count any edges!

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