Question

the breadth of a rectangular garden is 23 of its length .If its perimeter is 40m ,find it's dimensions ​

Answer 1

Answer:

p of rectangle=2×(l+b)

40= 2×[l+23)

20-23=l

l=-3

Answer 2

♣ Qᴜᴇꜱᴛɪᴏɴ :

ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ᴏꜰ ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ɢᴀʀᴅᴇɴ ɪꜱ 2/3 ᴏꜰ ɪᴛꜱ ʟᴇɴɢᴛʜ .ɪꜰ ɪᴛꜱ ᴘᴇʀɪᴍᴇᴛᴇʀ ɪꜱ 40ᴍ ,ꜰɪɴᴅ ɪᴛ'ꜱ ᴅɪᴍᴇɴꜱɪᴏɴꜱ

♣ ɢɪᴠᴇɴ :

ʙʀᴇᴀᴅᴛʜ ᴏꜰ ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ɢᴀʀᴅᴇɴ ɪꜱ 2/3 ᴏꜰ ɪᴛꜱ ʟᴇɴɢᴛʜ

♣ ᴛᴏ ꜰɪɴᴅ :

ᴅɪᴍᴇɴꜱɪᴏɴꜱ ᴏꜰ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ɢᴀʀᴅᴇɴ

♣ ᴀɴꜱᴡᴇʀ :

ʟᴇᴛ ʟᴇɴɢᴛʜ ʙᴇ x

2/3 x + x = 2x/3  + x

ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏꜰ ʀᴇᴄᴛᴀɴɢʟᴇ = 2(ʟᴇɴɢᴛʜ + ʙʀᴇᴀᴅᴛʜ)

40ᴍ = 2(x + 2x/3)

40ᴍ = 2x + 4x/3

40ᴍ = 6x/3 + 4x/3

40ᴍ = 10x/3

40ᴍ × 3 = 10x

120ᴍ = 10x

x = 120/10ᴍ

x = 12ᴍ

ʟᴇᴛ ʙʀᴇᴀᴅᴛʜ ʙᴇ Y

y + 12ᴍ = 40/2ᴍ

y + 12ᴍ = 20ᴍ

y = 20ᴍ - 12ᴍ

y = 8ᴍ

∴ Length is 12ᴍ and Breadth is 8ᴍ