Show that 2D shapes with the same area can have different perimeters, and solve related problems
30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.
Sample: the first question, solved
A 4cm×4cm square (area=16cm², perimeter=16cm) is compared to a 2cm×8cm rectangle (area=16cm²). Find the rectangle's perimeter and compare.
📘 Worked solution
✓Rectangle perimeter = 2×(2+8)=20cm. Same area, different perimeter (16cm vs. 20cm).
And one from the hard end
A rectangle with area 100cm² has dimensions 4cm×25cm. By how many cm is its perimeter greater than the 10cm×10cm square's perimeter (40cm)?
Solution shown after you try it in practice mode.
Work through all 30, easiest to hardest
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