Question

Guys fast plz it's very very urgent I am giving my exam plz guys help just tell me the option I don't want to know the explanation​

Answer 1

Given :

• Area of room is 65 1/4 m² .
• Breadth of room is 5 7/16 m .

To Find :

• Length of the room .

Solution :

$\longmapsto\tt{Area=65\dfrac{1}{4}\:{m}^{2}}$

$\longmapsto\tt{Breadth=5\dfrac{7}{16}\:m}$

Using Formula :

$\longmapsto\tt\boxed{Area\:of\:Rectangle=l\times{b}}$

Putting Values :

$\longmapsto\tt{65\dfrac{1}{4}=l\times{5\dfrac{7}{16}}}$

$\longmapsto\tt{\dfrac{261}{4}=l\times\dfrac{87}{16}}$

$\longmapsto\tt{\dfrac{261}{4}\div{\dfrac{87}{16}}=l}$

$\longmapsto\tt{\dfrac{\dfrac{261}{4}}{\dfrac{87}{16}}=l}$

$\longmapsto\tt{\dfrac{261\times{16}}{4\times{87}}=l}$

$\longmapsto\tt\bf{12\:m=l}$

So , The Length of the room is 12 m .

Option d ) 12 m is Correct .

Answer 2

Answer:

Given :-

• The area of a room is 65 ¼ m². If its breadth is 5 7/16 metres.

To Find :-

• What is the length of a room.

Formula Used :-

$\clubsuit$ Area Of Rectangle Formula :

$\footnotesize\mapsto \sf\boxed{\bold{\pink{Area_{(Rectangle)} =\: Length \times Breadth}}}$

Solution :-

Let,

$\leadsto \bf Length_{(Room)} =\: x\: m$

Given :

$\bigstar\: \: \sf Area =\: 65\dfrac{1}{4}\: m$

$\implies \sf\bold{\purple{Area =\: \dfrac{261}{4}\: m}}$

$\bigstar\: \: \sf Breadth =\: 5\dfrac{7}{16}\: m$

$\implies \sf\bold{\purple{Breadth =\: \dfrac{87}{16}\: m}}$

According to the question by using the formula we get,

$\longrightarrow \sf x \times \dfrac{87}{16} =\: \dfrac{261}{4}$

$\longrightarrow \sf x =\: \dfrac{261}{4} \div \dfrac{87}{16}$

$\longrightarrow \sf x =\: \dfrac{\dfrac{261}{4}}{\dfrac{87}{16}}$

$\longrightarrow \sf x =\: \dfrac{261}{4} \times \dfrac{16}{87}$

$\longrightarrow \sf x =\: \dfrac{264 \times \cancel{16}}{\cancel{4} \times 87}$

$\longrightarrow \sf x =\: \dfrac{264 \times 4}{1 \times 87}$

$\longrightarrow \sf x =\: \dfrac{1056}{87}$

$\longrightarrow \sf x =\: 12.14$

$\longrightarrow \sf x \approx 12$

$\longrightarrow \sf\bold{\green{x =\: 12\: m}}$

Hence, the length of the room is :

$\longrightarrow \sf Length_{(Room)} =\: x\: m$

$\longrightarrow \sf\bold{\red{Length_{(Room)} =\: 12\: m}}$

${\small{\bold{\underline{\therefore\: The\: length\: of\: the\: room\: is\: 12\: m\: .}}}}$

Hence, the correct options is option no (d) 12 m .

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EXTRA INFORMATION :-

❒ Formula Related to Rectangle :

① Perimeter Of Rectangle Formula :

$\bigstar\: \sf\bold{\pink{Perimeter_{(Rectangle)} =\: 2(Length + Breadth)}}$

② Area Of Rectangle Formula :

$\bigstar\: \sf\bold{\pink{Area_{(Rectangle)} =\: Length \times Breadth}}$

③ Diagonal Of Rectangle Formula :

$\bigstar\: \: \sf\bold{\pink{Diagonal_{(Rectangle)} =\: \sqrt{(Length)^2 + (Breadth)^2}}}$

❒ Formula Related to Square :

① Perimeter Of Square Formula :

$\bigstar\: \sf\bold{\purple{Perimeter_{(Square)} =\: 4a}}$

② Area Of Square Formula :

$\bigstar\: \sf\bold{\purple{Area_{(Square)} =\: a^2}}$

③ Diagonal Of Square Formula :

$\bigstar\: \sf\bold{\purple{Diagonal_{(Square)} =\: a\sqrt{2}}}$

where,

• a = Length of a side of the square