Question

A room is in the form of a rectangular region is 28m × 24m. how many marble slabs 16cm × 12 cm are needed to cover the room.​

Answer 1

Answer:

35000 marble slabs

Step-by-step explanation:

[ 1m = 100cm ]

Length of room = 28m = 28 × 100 = 2800cm

Breadth of room = 24m = 24 × 100 = 2400cm

Area of room = Length × Breadth

                      = 2800cm × 2400cm

                      = 6720000cm²

Length of marble slab = 16cm

Breadth of marble slab = 12cm

Area of marble slab = Length × Breadth

                                 = 16cm × 12cm

                                 = 192cm²

Number of marble slabs needed to cover the room = Area of the room /

                                                                                         Area of marble slab

                                                                                      = 6720000cm² / 192cm²  

                                                                                      = 35000

Therefore, the number of marble slabs needed to cover the room is 35000.      

Answer 2

Given :-

• Length of the room = 28m.
• breadth of the room = 24m.
• length of the marble slab = 16 cm.
• breath of the marble slab = 12 cm.

To find :-

• No. of marble slabs needed to cover the room.

Solution :-

Area of the room = 28 m × 24 m

=> 672 m²

Area of the marble slab = 16 cm × 12 cm

=> 192 cm² to m²

$\sf \: => \frac{192}{100 \times 100}$

=> 0.0192 m²

$\sf \therefore \: No. \: of \: marble \: slab = \dfrac{Area \: of \: the \: room }{Area \: of \: the \: marble \: slab} \\ \\ \sf \: = \: \frac{672}{0.0192} \\ \\ \sf \: = \: \dfrac{ \cancel{672} \: \: ^{7} \times \cancel{10000} \: \: ^{5000} }{ \cancel{192} } \\ \\ \red{\sf \: = \: 35000 \: marble \: slab \: \: \: ...(ans)}$