Question

THe length of a rectangular plot is thrice its bredth If the perimeter of plot is 144m, find its length and breadth
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Answer 1

$\huge{\mathfrak{\underline{\underline{\red{Given}}}}}$

$\bf{\green{length\:=\:3\:times\:breadth}}$

$\bf{\green{perimeter\:=\:144m}}$

$\huge{\mathfrak{\underline{\underline{\red{Solution}}}}}$

$\bf{\green{Let\:the\:breadth\:be\:x}}$

$\bf{\green{Let\:the\:length\:be\:3x}}$

$\bf{\green{\underline{A.T.Q.}}}$

$\bf{\green{perimeter\:=\:2(l+b)}}$

$\bf{\green{144\:=\:2(x+3x)}}$

$\bf{\green{144\:=\:2x+6x}}$

$\bf{\green{144\:=\:8x}}$

$\bf{\green{x\:=\:144/8}}$

$\bf{\green{x\:=\:18}}$

$\bf{\green{breadth\:=\:18cm}}$

$\bf{\green{length\:=\:54cm}}$

$\bf{\green{Hope\:it\:helps\:you}}$