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

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

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

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

$\longrightarrow \sf{ 2x+30 = \dfrac{260}{20} }$

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

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

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

$\longrightarrow \sf{x= \dfrac{100}{2} }$

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

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

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

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

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

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

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