Question

3. The length and breadth of a room are in t]
ratio 7: 6. Find the length if the breadth
12 m.​

Answer 1

Given that,

• The length and the Breadth of a room are in the ratio of 7:6.

☯ Let the Length and the Breadth be 7x and 6x.

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$\underline{\textsf{According to the Question Now :}}$ ⠀⠀⠀⠀⠀⠀

• The given Breadth of the room is 12 m.

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Therefore,

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$:\implies\sf 6x = 12 \\\\\\:\implies\sf x = \cancel\dfrac{12}{6} \\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 2}}}}}\:\bigstar$

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$\therefore\:{\underline{\sf{Here, \ we \ get \ the \ value \ of \ 'x' \ is \ {\textsf{\textbf{2}}}.}}}$

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$:\implies\sf Length_{\ (room)} = 7x \\\\\\:\implies\sf Length _{\:(room)} = 7 \times 2 \\\\\\:\implies{\underline{\boxed{\frak{\pink{Length_{\:(room)} = 14 \ m}}}}}\:\bigstar$

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$\therefore\:{\underline{\sf{Hence,\: length \ of \ the \ room \ is \ {\textsf{\textbf{14 m}}}.}}}$

Answer 2

Answer:

Correct Question :-

• The length and breadth of a room are in the ratio of 7 : 6. Find the length if the breadth is 12 m.

Given :-

• The length and breadth of a room are in the ratio of 7 : 6 and the breadth is 12 m.

To Find :-

• What is the length of a room.

Solution :-

Let, the length be 7x

And, the breadth be 6x

According to the question,

⇒ $\sf 7x + 6x = 7x + 12$

⇒ $\sf 7x - 7x + 6x = 12$

⇒ $\sf 6x = 12$

⇒ $\sf x =\: \dfrac{\cancel{12}}{\cancel{6}}$

➠ $\sf\red{x\: =\: 2}$

Hence, the required length and breadth are,

✧ Length = 7x = 7(2) = 14 m

✧ Breadth = 6x = 6(2) = 12 m

$\therefore$ The length of a room is 14 m .

$\rule{300}{1.5}$

$\boxed{\bold{\large{VERIFICATION :-}}}$

↦ 7x + 6x = 7x + 12

Put x = 2 we get,

↦ 7(2) + 6(2) = 7(2) + 12

↦ 14 + 12 = 14 + 12

↦ 26 = 26

➦ LHS = RHS

Hence, Verified ✔