Foundations for College Math (MBF3C) · Mathematical Models

Optimization Problems Using Quadratics

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.

Start the 30 questions Curriculum: MBF3C-MM.4

Sample: the first question, solved

A farmer has 60m of fencing for a rectangular pen. Find the dimensions that maximize area.

📘 Worked solution
15m×15m (square), maximum area=225m².

And one from the hard end

"A company builds a rectangular enclosure with 200m of fencing, divided into two equal sections by an internal fence parallel to one pair of sides. Find the dimensions that maximize total area."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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