Question

the length of rectangular plot of land is twice it's breadth. if the perimeter of a plot be 300m, find it's area
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Answer 1

$\tt{Breadth \: = \: x \: m}$

$\tt{So, \: Length \: = \: 2x \: m}$

$\tt{Perimeter \: = \: 2 \: (x\: + \: 2x) \: = \: 300}$

$\tt\longrightarrow{2 \: (3x) \: = \: 300}$

$\tt\longrightarrow{6x \: = \: 300}$

$\tt\longrightarrow{x \: = \: 300/6 \: 50}$

$\tt{Area \: = \: a \: × \: b}$

$\tt{= \: (x) \: (2x) }$

$\tt{= \: 2 \: × \: 2}$

$\tt{= \: 2 \: × \: 50 \: × \: 50}$

$\tt{= \: 2 \: × \: 2500}$

$\tt{5000}$ $\tt{\green{Answer}}$