Math · Age 11 · Measurement
Perimeter & Area of Compound Shapes (Ex. 3)
Solve problems with shapes that have cut-outs and step arrangements.
Module
Measurement
Age
Age 11
Duration
10 min
Questions
5
What's in this exercise
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Question 1
Multiple choice
A shape is 12 m × 8 m, with a 4×3 m cut from one corner. What is the remaining area?
Question 2
Multiple choice
A compound shape has sides: 6, 3, 2, 1, 4, 4 cm. What is the perimeter?
Question 3
Multiple choice
A step figure is made of three 2×1 cm rectangles placed in steps. What is the total area?
Question 4
Sequence
Area of compound shape: 10×6 rectangle minus 2×3 cut-out. Area = 60 − ____×3 = 60 − 6 = 54 cm².
Question 5
True or false
A compound shape always has a larger perimeter than a simple rectangle with the same total area.