Question

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?

Answer 1

Answer:

The required answer is $60cm$.

Step-by-step explanation:

Given : A homeowner wishes to cut a marble slab that is $240 cm$ long and $120 cm$ wide into eight pieces that are the same size but have the smallest perimeter.

To Find : the dimensions of the cut-out marble pieces.

Solution:

A homeowner wishes to divide a marble slab that is $240 cm$ long and $120 cm$wide into $8$ identical pieces.

So, according to question,

Area $= 240 * 120$

Area  of one piece $= 240 * 120 / 8 = 3600$

For a given area, a square has a minimum perimeter.

The size of tile  $= \sqrt{3600 } * 3600 =60 cm * 60 cm$

Hence, the size of the marble pieces cut out​ $= 60 cm$

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