Question

The perimeter of a rectangular card is 400 and its length is 6 cm . What is its breadth

Answer 1

Correct Question-:

• The perimeter of a rectangular card is 400 cm and its length is 6 cm . What is its breadth ?

AnswEr -:

• $\boxed{\purple{\sf{\star{The\:breadth \:of\: Rectangular \: card\: is \:-:194 \:cm }}}}$

Explanation-:

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 6 cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 194 cm}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

Given ,

• The perimeter of a rectangular card is 400 cm .
• The length of a rectangular card is 6 cm .

To Find ,

• The breadth of Rectangular card .

Solution-:

• $\boxed{\blue{\sf{\star{The\:Perimeter \: \:of\:Rectangle \:is \:-:\:2(length\:+\:breadth)}}}}$

Here ,

• The length of Rectangular card -: 6 cm .
• The perimeter of Rectangular card -: 400 cm .
• Breadth of Rectangular card -: ??

Now ,

• $\red{\sf{\implies { 2( 6 + breadth) = \:400 cm}}}$
• $\red{\sf{\implies { 6 + breadth = \: \frac{400}{2}}}}$
• $\red{\sf{\implies { 6 + breadth = \: 200}}}$
• $\red{\sf{\implies { breadth = \: 200 - 6}}}$
• $\red{\sf{\implies { breadth\: = \: 194 cm}}}$

• $\boxed{\purple{\sf{\star{breadth \:or\: b -:194 \:cm }}}}$ ..........[1]

Hence ,

• $\boxed{\purple{\sf{\star{The\:breadth \:of\: Rectangular \: card\: is \:-:194 \:cm }}}}$

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♤ | Verification | ♤

• $\boxed{\blue{\sf{\star{The\:Perimeter \: \:of\:Rectangle \:is \:-:\:2(length\:+\:breadth)}}}}$

Here ,

• The length of Rectangular card -: 6 cm .
• The perimeter of Rectangular card -: 400 cm .
• Breadth of Rectangular card -: 194 cm .......[ From 1]

Now,

• $\red{\sf{\implies {2(6+194)=\:400cm}}}$
• $\red{\sf{\implies {2(200)= \:400}}}$
• $\red{\sf{\implies {400cm= \: 400cm}}}$

$\boxed{\purple{\sf{\star{Therefore, \: LHS \:=\: RHS }}}}$

• $\boxed{\green{\sf{\star{Hence \: ,Verified \:! }}}}$

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