Question

A flooring tile has the shape of a parallelogram whose base is 24 cm and the
corresponding height is 10 cm. How many such tiles are required to cover a floor of
area 1080 m square? (If required you can split the tiles in whatever way you want to fill up
the comers)​

Answer 1

Answer:

• Qᴜᴇꜱᴛɪᴏɴ:

ᴀ ꜰʟᴏᴏʀɪɴɢ ᴛɪʟᴇ ʜᴀꜱ ᴛʜᴇ ꜱʜᴀᴘᴇ ᴏꜰ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴡʜᴏꜱᴇ ʙᴀꜱᴇ ɪꜱ 24 ᴄᴍ ᴀɴᴅ ᴛʜᴇ ᴄᴏʀʀᴇꜱᴘᴏɴᴅɪɴɢ ʜᴇɪɢʜᴛ ɪꜱ 10 ᴄᴍ. ʜᴏᴡ ᴍᴀɴʏ ꜱᴜᴄʜ ᴛɪʟᴇꜱ ᴀʀᴇ ʀᴇQᴜɪʀᴇᴅ ᴛᴏ ᴄᴏᴠᴇʀ ᴀ ꜰʟᴏᴏʀ ᴏꜰ ᴀʀᴇᴀ 1080 ᴍ??

• ᴀɴꜱᴡᴇʀ:

• ɢɪᴠᴇɴ :

ᴛɪʟᴇ ɪꜱ ɪɴ ꜱʜᴀᴘᴇ ᴏꜰ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀɴᴅ

ʙᴀꜱᴇ = 24 ᴄᴍ

ʜᴇɪɢʜᴛ = 10 ᴄᴍ

ɴᴏᴡ ɴᴜᴍʙᴇʀ ᴏꜰ ᴛɪʟᴇꜱ ʀᴇQᴜɪʀᴇᴅ = ᴀʀᴇᴀ ᴏꜰ ꜰʟᴏᴏʀ/ᴀʀᴇᴀ ᴏꜰ ᴛɪʟᴇ

• ɢɪᴠᴇɴ:

1 ᴍ = 100 ᴄᴍ

ᴛʜᴇʀᴇꜰᴏʀᴇ (1ᴍ)² = (100 ᴄᴍ)²

• ᴀʀᴇᴀ ᴏꜰ ꜰʟᴏᴏʀ = 1080 ᴍ²

= 1080 x (100)²ᴄᴍ²

= 1080 x 100 x 100 ᴄᴍ²

= 1080 x 10000 ᴄᴍ²

ɴᴏᴡ, ꜰɪɴᴅɪɴɢ ᴀʀᴇᴀ ᴏꜰ ᴛɪʟᴇ

• ᴀʀᴇᴀ ᴏꜰ ᴛɪʟᴇ = ᴀʀᴇᴀ ᴏꜰ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ

= ʙᴀꜱᴇ x ʜᴇɪɢʜᴛ

= 24 x 10

= 240 ᴄᴍ²

ɴᴏᴡ, ɴᴜᴍʙᴇʀ ᴏꜰ ᴛɪʟᴇꜱ ʀᴇQᴜɪʀᴇᴅ = ᴀʀᴇᴀ ᴏꜰ ꜰʟᴏᴏʀ/ᴀʀᴇᴀ ᴏꜰ ᴏɴᴇ ᴛɪʟᴇ

= 1080 x 1000/240

= 1080 x 1000/24

= 540 x 1000/12

= 90 x 1000/2

= 45 x 1000

= 45000

ᴛʜᴇʀᴇꜰᴏʀᴇ. 45000 ᴛɪʟᴇꜱ ᴀʀᴇ ʀᴇQᴜɪʀᴇᴅ ᴛᴏ ᴄᴏᴠᴇʀ ᴛʜᴇ ꜰʟᴏᴏʀ.