A house owner wants to cut a marble slab 240cm long and 120cm wide to 8 pieces of same size, but with least perimeter. Which of the following can be the size of the marble pieces cut out? *
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Given : A house owner wants to cut a marble slab 240cm long and 120cm wide to 8 pieces of same size, but with least perimeter.
To Find : the size of the marble pieces cut out
Solution:
A house owner wants to cut a marble slab 240cm long and 120cm wide to 8 pieces of same size,
Area = 240 * 120
Area of one piece = 240 * 120 / 8 = 3600
Square has minimum perimeter for a given area
Hence Size of tile = √3600 * 3600 =
60 cm * 60 cm
size of the marble pieces cut out = 60 cm * 60 cm
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