Question

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.​

Answer 1

`\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}`

`\longrightarrow \sf{2(1 + b) = 260}`

`\longrightarrow \sf{2(x+30+x) = 260}`

`\longrightarrow \sf{ 2x+30 = (260)/(20) }`

`\longrightarrow \sf{2x + 30 =130}`

`\longrightarrow \sf{2x = 130 - 30}`

`\longrightarrow \sf{2x = 100}`

`\longrightarrow \sf{x= (100)/(2) }`

•
`\longrightarrow \sf{b= \underline{50cm}}`

`\longrightarrow \sf{= x + 30}`

`\longrightarrow \sf{= 50 + 30}`

•
`\longrightarrow \sf{ \underline{80cm}}`

`\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}`

`\large\bm{Breadth= \: 50cm}`

`\large\bm{Length= \: 80cm}`