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sanlover123
sanlover123 sanlover123
  • 09-08-2016
  • Mathematics
Answered

Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.

Verified Answer :

AL2006
AL2006 AL2006
  • 09-08-2016

The rectangle with a certain area and the smallest perimeter
is always a square.

343 = 7³

If the area is 343 m², then the rectangle with the smallest perimeter
is the square with sides of

               √343  =  (7)^ ¹·⁵  =  7 √7 meters

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