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What is the least perimeter of a rectangle with the area of 32 square feet

2 Answers

5 votes
24 b/c area=8x4=32
bh2=24
User Cree
by
8.1k points
5 votes
You get the least perimeter of a rectangle when you draw
a square around the area.

If the area is 32 square feet, then each side of the square
is √32 feet. That's 4√2 feet.

So the perimeter (all around all 4 sides) is 16√2 = about 22.6 feet.
_________________________

There IS a way to get a shorter perimeter around the same area,
but not with a rectangle, or any number of straight sides.

If you do it with a CIRCLE, then the radius of the circle
is about 3.19 feet, and the perimeter (circumference) is
about 20.05 feet ... about 11% shorter than the perimeter
of the square.
User Anand Saga
by
8.1k points

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