Question: Using a square grid of a spreadsheet draw all rectangles of perimeter 20 cm with whole number sides. (All vertices of rectangles are at the
Using a square grid of a spreadsheet draw all rectangles of perimeter 20 cm with whole number sides. (All vertices of rectangles are at the intersections of the gridlines.)
Describe your rectangles in terms of their length and width.
Which rectangle has the largest area?
Which rectangle has the smallest area?
What are these areas?
What is special about a rectangle with the largest area?
If a side length of a rectangle is allowed to be smaller than 1 cm, does rectangle of perimeter 20 cm with the smallest area exist?
Task 2. Using a square grid of a spreadsheet draw all rectangles of area 16 cm2 with whole number sides. (All vertices of rectangles are at the intersections of the gridlines.)
Describe your rectangles in terms of their length and width.
Which rectangle has the smallest perimeter?
Which rectangle has the largest perimeter?
What are these perimeters?
What is special about a rectangle with the smallest perimeter?
If a side length of a rectangle is allowed to be smaller than 1 cm, does rectangle of area 16 cm2 with the largest perimeter exist?
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