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Head First 2D Geometry by Dawn Griffiths, Stray

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regular polygons
Which hot tub shape gives the most butt-space?
Jill: No—even for triangles that didn’t work—
remember?
Joe: Oh, yeah. Well, I guess we just have to divide up
the work then.
Frank: What work?
Joe: Well, we’ll have to do a bunch of calculations
for each shape—like try with the sides at 1 meter, 2
meters, 3 meters, and so on. Working out the area and
perimeter for each. Find the ones closest to 6 square
meters of area and then compare them and maybe
refine the calculations.…
Jill: Whoa. No way. That’s a ton of work! We’ll never
get it done for tomorrow.
Frank: I dont think we need to do it that way anyway.
Do you think we could use the formulas we know for
area, and sort of rewind them to find the side lengths?
Joe: Rewind them? Rewind a formula? What?
So, will they all have
the same perimeter
since they’ve all got
the same area?
Frank
Jill
Joe
What do YOU think Frank means? Would it work?
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