What rectangles have the same area that equal the same perimeter?

I originally posted my version of the answer in the discussion area, but I decided the answer deserved to be improved -- actually, re-written -- because it was ...

What are the rectangles that have the same perimeter as area? In: ... Do rectangles with the same area have equal perimeters? No, they are not equal.

Demonstrate that two shapes may have the same perimeter, but different areas; ... Do you think that it is possible to have two rectangles with the same area but ...

Can you explain how two rectangles with exactly the same perimeter can enclose different areas?

... so if a rectangle has the same perimeter AND area, it has to be congruent. I don't know how to go about it for other quadrilaterals, though.

For bees to assemble a honeycomb the way bees actually do it, it's simpler for each cell to be exactly the same. If the sides are all equal — "perfectly ... he thought, would have "the smallest total perimeter." He couldn't prove it mathematically ...

Living rooms are often the hardest-working rooms in our homes. If your living room has no real flow, or you are not maximizing the area to its full potential, you probably aren't enjoying it as much as you could. Maybe it's time to take charge. Start with ...

All semblance of normalcy disappeared when the West Fertilizer Co. on the northern ... lights. They helped treat dozens of patients. With no more adrenalin to fuel them, they left West about midnight and headed to a Waxahachie hospital to be treated for sm ...

Hacking the medical record [system] or establishing bastion hosts within the perimeter is a potential threat for which we have other safeguards," the source ... talked to who've left essentially said the same thing or showed the same behavior by parting ...

“We never stopped believing,” said Geary, a former NBA guard ... this league and for me to be the first one I take great honor and I will continue to work hard.” Josh Peppers paced Fukuoka with 25 points on 10-for-19 shooting, Reggie ...