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What is the largest and the smallest perimeter posssible for a rectangle with a area of 36cm2?
Wiki User
∙ 13y ago
The smallest perimeter is that for a square with sides of 6 cm. That is to say, a perimeter of 4*6 = 24 cm.
There is no maximum.
Suppose the shorter side is x cm.
Then, for the area to be 36 cm2, the longer side must be 36/x cm
Then the perimeter is 2x + 72/x cm. x can decrease towards 0 and as it does 72/x will increase without limit, making the perimeter "infinite".
Try it:
If smaller side 1 cm, then longer side = 36 cm and perimeter = 74 cm
0.1 cm 360 cm 720.2 cm
0.01 cm 3600 cm 7200.02 cm
etc
Wiki User
∙ 13y ago
Anonymous
Width:6cm
Length:6cm
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