The length of a rectangular plot exceeds its breadth by $5$ metres. if the perimeter of the plot is $142 m$ , find the dimensions of the plot.

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Solution

Given that

$l = b + 5$

$\Rightarrow 2 (l + b) = 142$

$\Rightarrow 2 (b + 5 + b) = 142$

$\Rightarrow b + 5 + b = 71$

$\Rightarrow 2 b + 5 = 71$

$\Rightarrow 2 b = 66$

$\Rightarrow b = 33 c m$

$\Rightarrow l = 33 + 5 = 38 c m$

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The length of a rectangular plot exceeds its breadth by 5 metres. if the perimeter of the plot is 142m, find the dimensions of the plot.

Given that l=b+5⇒2(l+b)=142⇒2(b+5+b)=142⇒b+5+b=71⇒2b+5=71⇒2b=66⇒b=33cm⇒l=33+5=38cm

The length of a rectangular plot exceeds its breadth by $5$ metres. if the perimeter of the plot is $142 m$ , find the dimensions of the plot.

Given that

$l = b + 5$

$\Rightarrow 2 (l + b) = 142$

$\Rightarrow 2 (b + 5 + b) = 142$

$\Rightarrow b + 5 + b = 71$

$\Rightarrow 2 b + 5 = 71$

$\Rightarrow 2 b = 66$

$\Rightarrow b = 33 c m$

$\Rightarrow l = 33 + 5 = 38 c m$