Question

Q-8: The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm,
find its breadth. Also find its area.​

Answer 1

Answer:

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Step-by-step explanation:

Perimeter of Rectangle = 2.(l + b)

100 cm = 2.(35 + b)

(35 + b) = 50

b = 50 - 35

b = 15 cm

Area of Rectangle = l × b

= 35 × 15

= 525 cm²

Breadth of Rectangle = 15 cm

Area of Rectangle = 525 cm²

Answer 2

Given : The perimeter of a rectangular sheet is 100 cm & the length is 35 cm .

Need To Find : Breadth and Area of Rectangle.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❒ Let's Consider the Breadth of Rectangular sheet be x cm .

$\dag\:\:\cal{ As,\:We\:know \:that\:,}$

$\qquad \quad \dag\:\:\bigg\lgroup \sf { Perimeter _{(Rectangle)} = 2( l + b) }\bigg\rgroup$

⠀⠀⠀⠀⠀Here l is the Length of Rectangular sheet and b is the Breadth of Rectangular sheet .

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$\qquad \longmapsto \sf 100 = 2( 35 + x )$

$\qquad \longmapsto \sf \cancel {\dfrac{100}{2}} = ( 35 + x )$

$\qquad \longmapsto \sf 50 = 35 + x$

$\qquad \longmapsto \sf 50 - 35 = x$

$\qquad \purple {\underline {\boldsymbol { x = 15 cm }}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Breadth \:of\:Rectangular \:Sheet\:is\:\bf{15\: cm}}}}$

⠀⠀⠀⠀⠀Finding the Area Rectangular sheet :

$\qquad \quad \dag\:\:\bigg\lgroup \sf { Area _{(Rectangle)} = l \times b }\bigg\rgroup$

⠀⠀⠀⠀⠀Here l is the Length of Rectangular sheet and b is the Breadth of Rectangular sheet .

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}$

$\qquad \longmapsto \sf Area = 15 \times 35$

$\qquad \purple {\underline {\boldsymbol { Area = 525 cm^2 }}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Area \:of\:Rectangular \:Sheet\:is\:\bf{525\: cm^2}}}}$