Question

Perimeter of a rectangle is 24 meters. If length of a rectangle is 2 meters more than its breadth, then find the breadth of a rectangle.

Answer 1

Diagram :

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

Then ,

Given that ,

• Length of a rectangle is 2 meters more than its breadth.

Therefore,

• Length of Rectangle is x + 2 m

$\dag\frak{\underline {Perimeter \:of\:Rectangle \::}}$

$\star\boxed {\sf{\pink{ Perimeter_{(Rectangle)} = 2 ( l + b) \:units }}}$

Where ,

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

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

$:\implies \sf { 24 = 2(x + x + 2) }\\\\ :\implies \sf { \cancel {\dfrac{24}{2}} = x + x + 2 }\\\\ :\implies \sf { 12 = x + x + 2 }\\\\ :\implies \sf { 12 = 2x + 2 }\\\\ :\implies \sf { 12-2 = 2x }\\\\ :\implies \sf { 10 = 2x }\\\\ :\implies \sf { \cancel {\dfrac{10}{2}} = x }\\\\\underline {\boxed{\pink{ \mathrm {  x = 5\: m}}}}\:\bf{\bigstar}$

Therefore,

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

Therefore,

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

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

Answer 2

Answer:

5 m is the perfect answer please make me as brain list