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The length of a parallelogram exceeds its breadth by 30 cm. If the perimeter of the parallelogram is 2 m 60 cm, find the length and breadth of the parallelogram.​

Sagot :

Kailes

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

[tex]\longrightarrow \sf{2(1 + b) = 260}[/tex]

[tex]\longrightarrow \sf{2(x+30+x) = 260}[/tex]

[tex]\longrightarrow \sf{ 2x+30 = \dfrac{260}{20} }[/tex]

[tex]\longrightarrow \sf{2x + 30 =130}[/tex]

[tex]\longrightarrow \sf{2x = 130 - 30}[/tex]

[tex]\longrightarrow \sf{2x = 100}[/tex]

[tex]\longrightarrow \sf{x= \dfrac{100}{2} }[/tex]

[tex]\longrightarrow \sf{b= \underline{50cm}}[/tex]

[tex]\longrightarrow \sf{= x + 30}[/tex]

[tex]\longrightarrow \sf{= 50 + 30}[/tex]

[tex]\longrightarrow \sf{ \underline{80cm}}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

[tex]\large\bm{Breadth= \: 50cm}[/tex]

[tex]\large\bm{Length= \: 80cm}[/tex]