Grade 9 Math (MTH1W) · Geometric and Measurement Relationships

Solve optimization problems requiring maximization or minimization of perimeter, area, surface area, or volume, given various constraints

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.

Start the 10 questions Curriculum: MTH1W-E1.6

Sample: the first question, solved

Find the rectangle with the smallest possible perimeter, given an area of 36m² (whole-number sides).

📘 Worked solution
6m×6m (a square) → perimeter=24m.

And one from the hard end

Find the rectangle with the smallest possible perimeter, given an area of 25m² (whole-number sides).

Solution shown after you try it in practice mode.

Work through all 10, easiest to hardest

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