Question

a room is 16 metre long and 12 metre wide around it is 3.5 metre wide veranda how many stones of size 7dm × 5 dm will be put in the varanda ?​

Answer 1

Answer is 315 stones.

Explanation

Given ,

• Length of the room = 16 m.
• Width of the room = 12 m.

This room is surrounded by Veranda which contains ,

• Width = 3.5 m.

The measurements of the stone ,

• Length = 7 dm = 0.7 m
• Witdth = 5 dm = 0.5 m

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So,

Length of the Total Region ( Veranda + Room )

• = 16 + 3.5 = 19.5 m

Width ,

• = 12 + 3.5 = 15.5 m

Now ,

Area of the Total Region ( veranda + Room )

• Area of the Total Region ( veranda + Room )= Length x width
• = 19.5 x 15.5
• = 302.25 m²

And the Area of the Room having 16 m length and 12 m width.

• And the Area of the Room having 16 m length and 12 m width.= Length x Width
• = 16 x 12
• = 192 m²

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Thus Area of the Veranda will be ,

• Area of Full space - Area of room
• = 302.25 - 192 m²
• = 110.25 m²

Now , we need to calculate the Area of Stone "having length 0.7 m and Width 0.5 m" , will be ,

• Length x Width
• = 0.7 x 0.5 m²
• = 0.35 m²

Finally , The no. of stones which will be put in the Veranda is ,

• = Area of veranda ÷ Area of stone
• = 110.25 m² ÷ 0.35 m²
• = 315 Stones.