Olibits / Math / Area & Perimeter of Rectilinear Figures
Primary 4 Math: Area & Perimeter of Rectilinear Figures Practice
Real Primary 4 Math questions on Area & Perimeter of Rectilinear Figures, pulled directly from the Olibits question bank — the same questions a child would actually see, not separately written for this page.
MOE strand: Measurement and Geometry
Curriculum alignment
Mathematics Syllabus, Primary One to Six (MOE, 2021 syllabus)
Taught across P1–P6.
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Real Area & Perimeter of Rectilinear Figures practice questions
A rectilinear figure is made by cutting a small rectangle from the corner of a big rectangle. Compared to the perimeter of the original big rectangle, the perimeter of the remaining figure is...
Smaller
Larger
The same ✓
Cannot be determined
Cutting a rectangular notch from a corner removes some edges but adds new edges of the same total length, so the perimeter stays the same.
A rectilinear figure is formed by cutting a 4 cm by 4 cm square out of one corner of a 12 cm by 9 cm rectangle. What is the area of the remaining figure, in cm²?
92 cm² ✓
108 cm²
76 cm²
96 cm²
Area of the rectangle = 12 × 9 = 108 cm². Area removed = 4 × 4 = 16 cm². Remaining area = 108 − 16 = 92 cm².
A figure is made of a 15 cm by 8 cm rectangle with a 6 cm by 5 cm rectangle removed from one corner. What is the area of the figure, in cm²?
90 cm² ✓
120 cm²
60 cm²
95 cm²
Area of the rectangle = 15 × 8 = 120 cm². Area removed = 6 × 5 = 30 cm². Remaining area = 120 − 30 = 90 cm².
Priya says: 'When you cut a rectangular notch out of the CORNER of a rectangle, the area decreases but the perimeter always stays exactly the same.' Why is this true for a corner notch, but would NOT be true if the notch were cut into the middle of one side instead?
A corner notch replaces removed edges with new edges of the same total length, but a notch in the middle of a side adds two extra new edges that increase the perimeter ✓
The perimeter always decreases in both cases
The perimeter is unaffected in both cases
Cutting a notch never changes area or perimeter
A corner notch removes parts of two adjacent sides and replaces them with two new sides of matching total length, keeping the perimeter unchanged. A notch cut into the middle of a side instead adds brand-new edges around the notch, which increases the total perimeter.