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50 square stones slabs of equal size were needed to cover a floor area of 72sq.m . The length of each stone slab is

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102 cm

120 cm

201 cm

210 cm

answer is B.

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Detailed Solution

Let the length of each stone slab be x
Because it is given that the stone slab has a square shape.
So the area of one stone slab is

There are also 50 such boards.
Therefore, the area due to the 50 plates is given as

It is also a given that the 50 boards are needed to cover the entire floor.
So the area of the 50 boards will be equal to the area of the floor
The total floor area is

.
So we see from above that the area of the board will be equal to the area of the floor.

⇒ 50 x 2 = 72 ⇒ x 2 = 7250 ⇒ x 2 = 1.44 ⇒ x = 1.2

Therefore, from above we see that length of each slab is

1.2 m

120 c m

.
Hence, from given four options we see that option 2 is the correct option

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