Question

4. Find the perimeter of the
rectangle whose length is 40
cm and a diagonal is 41 cm.
98 cm
90 cm
Ο Ο Ο Ο
O 92 cm
O 96 cm​

Answer 1

ANSWER IS IN THE IMAGE ATTACHED

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Answer 2

$\huge \underline \mathfrak \red{answer - }$

ʙʏ ᴘʏᴛʜᴀɢᴏʀᴀs ᴛʜᴇᴏʀᴇᴍ,

(ᴅɪᴀɢᴏɴᴀʟ)² = (ʟᴇɴɢᴛʜ)²+(ᴡɪᴅᴛʜ)²

ɴᴏᴡ ᴀs ɢɪᴠᴇɴ ɪɴ ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ,

ᴅɪᴀɢᴏɴᴀʟ = 41ᴄᴍ.

ʟᴇɴɢᴛʜ = 40ᴄᴍ.

sᴏ ᴘᴜᴛᴛɪɴɢ ᴛʜᴇsᴇ ᴠᴀʟᴜᴇs ᴡᴇ ɢᴇᴛ,

(41)² = (40)² + (ᴡɪᴅᴛʜ)²

(ᴡɪᴅᴛʜ)² = (41)²- (40)²

(ᴡɪᴅᴛʜ)²= 1681-1600

(ᴡɪᴅᴛʜ)²=81

ᴡɪᴅᴛʜ = 9ᴄᴍ

ʜᴇɴᴄᴇ ᴡɪᴅᴛʜ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ɪs 9 ᴄᴍ.

sᴏ

ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ = 2(ʟᴇɴɢᴛʜ+ᴡɪᴅᴛʜ)

= 2(40ᴄᴍ+9ᴄᴍ)

=2×49ᴄᴍ

=98ᴄᴍ

ʜᴇɴᴄᴇ ᴛʜᴇ ᴘᴇʀɪᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ ɪs 98ᴄᴍ.