Optimization and Real-World Geometry Problems (Perimeter/Area)
10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.
Sample: the first question, solved
A rectangular garden has a fixed perimeter of 40m. What dimensions maximize the area?
📘 Worked solution
✓A square: 10m×10m.
And one from the hard end
"A farmer has 100m of fencing for a rectangular pen, with one side against a barn wall (fencing only 3 sides). Find the dimensions that maximize area."
Solution shown after you try it in practice mode.
Work through all 10, easiest to hardest
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