Question

The perimeter of a rectangularsheet is 100cm.If the length is 35cm,find its breadth.Also find
the area.​

Answer 1

$\sf Given \begin{cases} & \sf{Perimeter\:of\:rectangular\:sheet = \bf{100\:cm}} \\ & \sf{Length\:of\:rectangular\:sheet = \bf{35\:cm}} \end{cases}$

To find: Breadth & Area of sheet?

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☯ Let breadth of rectangular sheet be x cm.

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$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

⋆ Perimeter of rectangle is given by,

$\star\;{\boxed{\sf{\pink{Perimeter_{\;(rectangle)} = 2(length + breadth)}}}}$

$:\implies\sf 2(35 + x) = 100\\ \\ \\ :\implies\sf (35 + x) = \cancel{ \dfrac{100}{2}}\\ \\ \\ :\implies\sf (35 + x) = 50\\ \\ \\ :\implies\sf x = 50 - 35\\ \\ \\ :\implies{\underline{\boxed{\frak{\purple{x = 15\:cm}}}}}\;\bigstar$

$\therefore\:{\underline{\sf{Breadth\:of\:rectangular\:sheet\;is\: {\textsf{\textbf{15\:cm}}}.}}}$

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$\dag\;{\underline{\frak{Now,\:finding\;Area\:of\:sheet,}}}$

⋆ Area of rectangle is given by,

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

$:\implies\sf Area_{\;(rectangle)} = 35 \times x\\ \\ \\:\implies\sf Area_{\;(rectangle)} = 35 \times 15\\ \\ \\:\implies{\underline{\boxed{\frak{\purple{Area_{\;(rectangle)} = 525\:cm^2}}}}}\;\bigstar$

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

Answer 2

Answer:

Given :-

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

To Find :-

Breadth

Area

Solution :-

Let the breadth be x

As we know that

Perimeter = 2(L + B)

100 = 2(35 + x)

100 = 70 + 2x

100 - 70 = 2x

30 = 2x

x = $\dfrac{30}{2}$

x = 15

Now,

Let's find Area

Area = Length × Breadth

Area = 35 × 15

$\mathfrak \purple{Area = 525 {cm}^{2} }$