Question

7. Irene spreads a carpet of length 3 m and
breadth 2 m in her room. If the length of the
room is 4 m and breadth, 3 m, what area of
the room is left uncarpeted?​

Answer 1

${\large{\bold{\rm{\underline{Correct \: question}}}}} \: \: \: \: \: \red \bigstar$

✰ Irene spreads a carpet of length 3 m and breadth 2 m in her room. If the length of the room is 4 m and breadth, 3 m, what area of the room is left uncarpeted?

${\large{\bold{\rm{\underline{Given \; that}}}}} \: \: \: \: \: \red \bigstar$

$\; \; \; \; \; \; \; \;{\bf{Irene \: spreads \: a \: carpet \: in \: her \: room}}$

✠ The length of the carpet is 3 m.

✠ Breadth of the carpet is 2 m.

✠ The length of the room is 4 m.

✠ The breadth of the room is 3 m.

${\large{\bold{\rm{\underline{To \; find}}}}} \: \: \: \: \: \red \bigstar$

✠ Area of the room is left uncarpeted.

${\large{\bold{\rm{\underline{Solution}}}}} \: \: \: \: \: \red \bigstar$

✠ Area of the room is left uncarpeted = 6 m²

${\large{\bold{\rm{\underline{Using \; concepts}}}}} \: \: \: \: \: \red \bigstar$

✠ Formula to find area of rectangle.

✠ Formula to find area of the room that is left uncarpeted (According to the question).

${\large{\bold{\rm{\underline{Using \; formula}}}}} \: \: \: \: \: \red \bigstar$

✠ Area of rectangle = Length × Breadth

✠ Area of the room that is left uncarpeted (According to the question) = Area of room - Area of carpet.

${\large{\bold{\rm{\underline{Full \; Solution}}}}} \: \: \: \: \: \red \bigstar$

~ As it's already cleared that here length and breadth are given of room and the carpet means these are in a shape of rectangle. So according to the question here we have to use formula to find area of rectangle and according to this formula we have to fInd area of carpet and area of room.

~ Firstly finding area of carpet !.

➙ The length of the carpet = 3 m.

➙ Breadth of the carpet = 2 m.

➙ Area of the carpet = L × B

• Area of the carpet = 3 × 2

• Area of the carpet = 6 m²

${\frak{Henceforth, \: 6 \: m^{2} \: is \: area \: of \: carpet}}$

~ Now finding area of room !.

➙ The length of the room = 4 m.

➙ The breadth of the room = 3 m.

➙ Area of room = L × B

• Area of room = 4 × 3

• Area of room = 12 m²

${\frak{Henceforth, \: 12 \: m^{2} \: is \: area \: of \: room}}$

~ Now let's find the area of the room that is left uncarpeted.

➙ Area of the room that is left uncarpeted = Area of room - Area of carpet.

➙ Area of the room that is left uncarpeted = 12 m² - 6 m²

➙ Area of the room that is left uncarpeted = 6 m²

${\frak{Henceforth, \: 6 \: m^{2} \: is \: area \: of \: the \: room \: that \: is \: left \: uncarpeted}}$

Answer 2

$\huge\underline{\bf \red{ ❥ ᴀɴsᴡᴇʀ }}$

• Length = 3 m and Breadth = 2 m.

→ Area = l×b

→ 3 × 2

→ 6 m²

Therefore, 6m² is area of carpet

• Length = 4 m and Breadth = 3 m.

→ Area = l×b

→ Area of room = 4 × 3

→ Area of room = 12 m²

• Hence, 12m² is area of room.

→ Uncarpeted Area = Area of room - Area of carpet.

→ 12 m² - 6 m²

→ 6 m² Ans.