Question

If the ratio between the length and the perimeter of a rectangle is 2:5,then the ratio between the length and breadth of rectangle is 4:1 . How?

Answer 1

hope it will help you

Answer 2

$Let \:l \: and \: b \: are \: length \: and \\breadth \: of \: a\: rectangle$

$perimeter \: of \: rectangle (P) = 2(l+b)$

/* According to the problem given */

$Ratio \: of \: length \: and \: perimeter \\= 2 : 5$

$\implies {l}{2(l+b)} = \frac{2}{5}$

$\implies 5l = 4(l+b)$

$\implies 5l = 4l + 4b$

$\implies 5l - 4l = 4b$

$\implies l = 4b$

$\implies \frac{l}{b} = \frac{4}{1}$

Therefore.,

$\red { Ratio \:of \: length \: and \: breadth } \\\green {= 4 : 1 }$

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