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The perimeter of a parallelogram is $25\ cm$. If the longer side measures $8\ cm$, what is the measure of the shorter side?
Given: Perimeter of a parallelogram is $25\ cm$ and value of longer side is $8\ cm$.
To do: To find the shorter side.
Solution:
Let $x$ be the other side of the parallelogram.
$\therefore$ Perimeter$=2( l+b)$
$\Rightarrow 2 ( 8\ cm+x)=25\ cm$
$\Rightarrow 16\ cm+2x=25\ cm$
$\Rightarrow 2x=25\ cm-16\ cm$
$\Rightarrow 2x=9\ cm$
$\Rightarrow x=\frac{9}{2}\ cm$
$\Rightarrow x=4.5\ cm$
Hence, the value of shorter side is $4.5\ cm$.
Updated on: 10-Oct-2022
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