Question

A rectangular piece of dimension 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm. Find the ratio of the areas of the two rectangles.
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Answer 1

${\blue{\mathcal\fcolorbox{aqua}{darkblue}{● QUESTION:}}}$

❥︎ A rectangular piece of dimension 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm. Find the ratio of the areas of the two rectangles.

${\blue{\mathcal\fcolorbox{aqua}{darkblue}{● ANSWER:}}}$

❥︎ Aʀᴇᴀ Oғ Rᴇᴄᴛᴀɴɢʟᴇ = ʟᴇɴɢᴛʜ × ʙʀᴇᴀᴅᴛʜ

➪ Aʀᴇᴀ Oғ Bɪɢɢᴇʀ Rᴇᴄᴛᴀɴɢʟᴇ = 6 ᴄᴍ × 5 ᴄᴍ = 30 ᴄᴍ²

➪ Aʀᴇᴀ Oғ Sᴍᴀʟʟᴇʀ Rᴇᴄᴛᴀɴɢʟᴇ = 3 ᴄᴍ × 2 ᴄᴍ = 6 ᴄᴍ²

❥︎ Tʜᴇ Rᴀᴛɪᴏ ᴏғ ᴛʜᴇ Aʀᴇᴀs ᴏғ ᴛʜᴇ Tᴡᴏ Tʀɪᴀɴɢʟᴇs

= Aʀᴇᴀ Oғ Bɪɢɢᴇʀ Rᴇᴄᴛᴀɴɢʟᴇ : Aʀᴇᴀ Oғ Sᴍᴀʟʟᴇʀ Rᴇᴄᴛᴀɴɢʟᴇ

= 30 ᴄᴍ² : 6 ᴄᴍ²

= 30 : 6

= 5:1

❥︎ Tʜᴇʀᴇғᴏʀᴇ, Tʜᴇ Rᴀᴛɪᴏ ᴏғ ᴛʜᴇ Aʀᴇᴀs ᴏғ ᴛʜᴇ Tᴡᴏ Tʀɪᴀɴɢʟᴇs ɪs 5:1.

${\red{Hope \: This \: Helps \: You \:❤}}$

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Answer 2

Step-by-step explanation:

Given,

Area of bigger rectangle =(6×5)cm=30cm²

Area of smaller rectangle =(3×2)cm=6cm²

Therefore, Ratio is

bigger rectangle area : smaller rectangle area

= 30cm² : 6cm²

so ratio is = 5 : 1

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