Question

perimeter of rectangle is 24m.if the length of the rectangle is2m more than its breadth,then find the breadth of the rectangle​

Answer 1

Given : The length of a rectangle is 2 m more than its breadth & the perimeter is 24 m .

Need To Find : Breadth of Rectangle.

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❍ Let's Consider the Breadth of Rectangle be x m .

Given that,

• Length of a rectangle 2 m more than its breadth .

Then ,

• Length of Rectangle is x + 2 m .

$\dag\frak{\underline {As,\:We\:know\:that\::\:}}$

$\dag\:\:\boxed {\sf{ Perimeter _{(Rectangle)} =\bigg( 2 ( l + b ) \bigg)\:units}}$

Where,

• l is the Length of Rectangle and b is the Breadth of Rectangle .

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

$\qquad :\implies \sf { 24 = 2 ( x + x+ 2 ) }\\\\:\implies \sf { \cancel {\dfrac{24}{2} }= x + x +2 }\\\\ :\implies \sf { 12 = x + x +2 }\\\\:\implies \sf { 12-2 = x + x }\\\\:\implies \sf { 10 = 2x }\\\\:\implies \sf { \cancel {\dfrac{10}{2}}= x }\\\\:\implies \bf { x = 5m }$

• Length of Rectangle is x+2 = 5 + 2 = 7 m

• Breadth of Rectangle is x = 5 m .

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Breadth \:of\:Rectangle \:is\:\bf{5\: m}}}}$

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V E R I F I C A T I O N :

$\dag\frak{\underline {As,\:We\:know\:that\::\:}}$

• $\dag\:\:\boxed {\sf{ Perimeter _{(Rectangle)} =\bigg( 2 ( l + b ) \bigg)\:units}}$

Where,

• l is the Length of Rectangle and b is the Breadth of Rectangle .

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: found \: Values \::}}$

$\qquad :\implies \sf { 24 = 2 ( 7+5 ) }\\\\:\implies \sf { 24 = 2 ( 12 ) }\\\\:\implies \bf { 24m = 24 m }$

⠀⠀⠀⠀⠀$\therefore {\underline {\bf{ Hence, \:Verified \:}}}$

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Answer 2

Question:

• Perimeter of rectangle is 24m.if the length of the rectangle is2m more than its breadth,then find the breadth of the rectangle.

Solution:

Need to find:

• Find the breadth of the rectangle ?

Given that:

• Perimeter of rectangle = 24 m
• Length of the rectangle = 2 m

• Here,The length of rectangle is more than its breadth.so let us consider that length is 2+b

Step by step explanation:

As we know that,

• Perimeter of rectangle = 2(l + b)

Putting the values on formula,

➨24 = 2(2+b + b)

➨24 = 2(2 + 2b)

➨24 = 4 + 4b

➨24 - 4 = 4b

➨20 = 4b

➨ b = 20/4

➨ b = 5

• Therefore,The length is 2+b = 2+5 = 7 m and the breadth is 5 m.

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Let us verify that,

➨ Perimeter = 2(l + b)

➨ Perimeter = 2(7 + 5)

➨ Perimeter = 2 × 12

➨ Perimeter = 24 m

• Hence,Verified.

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