Question

the perimeter of one square is 748 cm and that of another is 366 cm find the perimeter and the diagonal of a square which is equal in area of these two

Answer 1

hello.. ☺

ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ sǫᴜᴀʀᴇ
4 * ᴀ = 748 ᴄᴍ
sɪᴅᴇ ᴏғ sǫᴜᴀʀᴇ   
ᴀ = 187ᴄᴍ
ᴀʀᴇᴀ ᴏғ sǫᴜᴀʀᴇ  
ᴀ² = 187² ᴄᴍ²

ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ sǫᴜᴀʀᴇ
4 * ʙ  = 336 ᴄᴍ
sɪᴅᴇ ᴏғ sǫᴜᴀʀᴇ
  ʙ = 84 ᴄᴍ
ᴀʀᴇᴀ ᴏғ sǫᴜᴀʀᴇ
  ʙ² = 84² ᴄᴍ²

sᴜᴍ ᴏғ ᴀʀᴇᴀs ᴏғ ʙᴏᴛʜ = 42025 ᴄᴍ²

    sɪᴢᴇ ᴏғ sɪᴅᴇ ᴏғ sǫᴜᴀʀᴇ ᴡɪᴛʜ ᴀʀᴇᴀ
= √42025
= 205 ᴄᴍ
      ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ sǫᴜᴀʀᴇ
= 4 * 2015
= 820 ᴄᴍ
       ᴅɪᴀɢᴏɴᴀʟ ᴏғ sǫᴜᴀʀᴇ
= √2 * sɪᴅᴇ
= 205 √2 ᴄᴍ