Question

the perimeter of a rectangular sheet is 100 cm if the length is 35 cm find its breadth and outsource find its the area​

Answer 1

Answer:

Let length=l,

breadth=b of rectangle

⇒ Perimeter=2(l+b)

⇒100=2(35+b)

⇒50=35+b

⇒b=15cm

Area=lb

=35×15

= 525cm²

Step-by-step explanation:

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Answer 2

Given:

• Length of rectangular sheet = 35 cm
• Perimeter of rectangular sheet = 100 cm

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Need to find:

• Breadth of rectangular sheet
• Area of rectangular sheet

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☯ Let breadth of Rectangular sheet be x cm.

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$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 35 cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large x cm}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

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$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

• Perimeter of rectangular sheet = 100 cm

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$:\implies\sf 2(35 + x) = 100$

$:\implies\sf 35 + x = \cancel{ \dfrac{100}{2}}$

$:\implies\sf 35 + x = 50$

$:\implies\sf x = 50 - 35$

$:\implies{\underline{\boxed{\frak{\purple{x = 15}}}}}\;\bigstar$

Therefore,

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• Breadth of rectangular sheet is 15 cm.

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Now, Area of rectangular sheet,

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As we know that,

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$\star\;{\boxed{\sf{\pink{Area_{\;(rectangle)} = length \times breadth}}}}$

$:\implies\sf Area_{\;(sheet)} = 35 \times 15$

$:\implies{\underline{\boxed{\frak{\purple{Area_{\;(sheet)} = 525\;cm^2}}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;Area\;of\; rectangular\;sheet\;is\; \bf{525\;cm^2}.}}}$