Question

Find the breadth of a rectangle whose area is 1728 sq. cm and length is 12 cm​

Answer 1

Answer:

Given :-

• A rectangle whose area is 1728 cm² and length is 12 cm.

To Find :-

• What is the breadth of a rectangle.

Formula Used :-

$\clubsuit$ Area Of Rectangle Formula :

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

Solution :-

Let,

$\mapsto \bf Breadth_{(Rectangle)} =\: b\: cm$

Given :

• Area of Rectangle = 1728 cm²
• Length = 12 cm

According to the question by using the formula we get,

$\small \implies \bf Area_{(Rectangle)} =\: Length \times Breadth$

$\implies \sf 1728 =\: 12 \times b$

$\implies \sf 1728 =\: 12b$

$\implies \sf \dfrac{\cancel{1728}}{\cancel{12}} =\: b$

$\implies \sf \dfrac{144}{1} =\: b$

$\implies \sf 144 =\: b$

$\implies \sf\bold{\green{b =\: 144\: cm}}$

Hence, the required breadth of a rectangle is :

$\dashrightarrow \sf Breadth_{(Rectangle)} =\: b\: cm$

$\dashrightarrow \sf\bold{\red{Breadth_{(Rectangle)} =\: 144\: cm}}$

$\small \sf\bold{\underline{\purple{\therefore\: The\: breadth\: of\: rectangle\: is\: 144\: cm\: .}}}$

Answer 2

$\huge \textbf{\textsf{\color{navy}{Sol}\purple{uti}\pink{on ࿐ }}}$

$\:$

$\displaystyle \bf \color{navy} \star \: \red{ \large \underline{ \boxed{ \bf Breadth = 144}}}$

❝ Breadth of the Rectangle is 144cm.❞

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Step-by-step Explanation :

★ Given :

• The area of the rectangle is 1728sq.cm
• And the length of the rectangle is 12cm.

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★ To Find :

• Breadth of the rectangle ?

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★ Used Formula :

$\bf \large \red⇝ \: Area \: _{(Rectangle)} \: = \:L \times B$

Where,

• L = Length
• B = Breadth

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★ Explanation :

In Rectangle,

• Area = 1728sq.cm
• Length = 12cm
• Breadth = 144cm

We know that,

$\bf \implies \: Area \: _{(Rectangle)} \: = \: L \times B$

Now,

$\sf \implies \: 1728sq.cm \: = \: 12 \times B$

$\displaystyle \sf \implies \: \cancel\frac{1728}{12} \: = B$

$\displaystyle \sf \implies \: 144 \: = B$

$\displaystyle \bf \red{\implies \large \underline{ \boxed{ \bf B = 144}}}$

Hence,

∴ ❝ Breadth of the Rectangle is 144cm.❞

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★ Verification :

In Rectangle,

• Area = 1728sq.cm
• Length = 12cm
• Breadth = 144cm

We know that,

$\bf \implies \: Area \: _{(Rectangle)} \: = \: L \times B \:$

Here,

Substitute 144cm in the place of B.

Now,

$\sf \implies \: 1728sq.cm \: = \: 12cm \times 144cm$

$\</strong><strong>b</strong><strong>f \implies \: 1728sq.cm \: = \: 1728sq.cm \:$

L.H.S = R.H.S

∵ Hence, Verified !!

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