Grade 10 Applied (MFM2P) · Geometry Trigonometry

Optimization and Real-World Geometry Problems (Perimeter/Area)

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: MFM2P-GT.6

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 courtyard is a rectangle with a fixed perimeter of 120m. Test width options 20m, 30m, 35m, 40m in a table (length, width, area) to find which gives the maximum area."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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