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 don’t 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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