Question

Each side of a triangle is increased by 10 cm; if the ratio of the perimeter of a new triangle and the given triangle is 5 :4 find the perimeter of the given Triangle

Answer 1

let the perimeter be x of old and x+30  of new triangle then equate it with the ratio and get the answer

Answer 2

▆ ▇ █ ⓈⓄⓁⓊⓉⒾⓄⓃ █ ▇ ▆

ꜱᴜᴘᴘᴏꜱᴇ ᴛʜᴇ ᴏʀɪɢɪɴᴀʟ ᴘᴇʀɪᴍᴇᴛᴇʀ ʙᴇ ᴋ .

ɴᴏᴡ, ɪɴᴄʀᴇᴀꜱɪɴɢ ᴇᴀᴄʜ ꜱɪᴅᴇ ʙʏ 10 ᴍᴇᴀɴꜱ ᴡᴇ ɪɴᴄʀᴇᴀꜱᴇ ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ʙʏ 30.

ᴛʜᴇʀᴇꜰᴏʀᴇ, ɴᴇᴡ ᴘᴇʀɪᴍᴇᴛᴇʀ = ᴋ + 30 .

ɢɪᴠᴇɴ, ʀᴀᴛɪᴏ = 5 : 4 .

( ᴋ + 30 ) / ᴋ = 5 / 4

⇒ 4 ᴋ + 120 = 5 ᴋ

⇒ 120 = 5 ᴋ - 4 ᴋ

⇒ ᴋ = 120

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴛʜᴇ ʀᴇQᴜɪʀᴇᴅ ᴘᴇʀɪᴍᴇᴛᴇʀ ɪꜱ 120 ᴄᴍ .