Question

4. The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth.
Also find the area.
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Answer 1

Answer:

perimeter =100cm

length =35cm

perimeter = 2(l+b)

100 = 2(35 + b)

50 = 35+ b

50-35 = b

breadth b = 15cm

area of rectangle = length× breadth

= 35 × 15

= 525 cm²

Answer 2

❍ Let the Length be l and Breadth be b of the Rectangle.

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$\underline{\bigstar\:\sf\color{blue}{Perimeter ~of~ Rectangle :}}$

$\dashrightarrow\sf Perimeter = 2(Length + Breadth)\\\\\\\dashrightarrow\sf 2(Length + Breadth) = 100\\\\\\\dashrightarrow\sf 2(35 + b) = 100\\\\\\\dashrightarrow\sf 35 + b = \cancel\dfrac{100}{2}\\\\\\\dashrightarrow\sf 35 + b = 50\\\\\\\dashrightarrow\sf b = 50 - 35\\\\\\\dashrightarrow{\pmb{\sf{b = 15\;cm}}}$

$\rule{250px}{.2ex}$

$\underline{\bigstar\:\sf\color{red}{Area ~of ~Rectangle :}}$

$:\implies\sf Area = Length \times Breadth \\\\\\:\implies\sf Area = 35 \times 15 \\\\\\:\implies{\pmb{\sf{Area = 525\;cm^2}}}$

⠀⠀

$\therefore\:\underline{\sf\pink{Breadth \: and \: Area \: is \:{\pmb{\sf{15 \: cm}}} \:\sf{and}\:{\pmb{\sf{525 \: cm^2}}}\:respectively.}}$