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The perimeter of a parallelogram is $22\ cm$. If the longer side measures $6.5\ cm$ what is the measure of the shorter side?
Given:
The perimeter of a parallelogram is $22\ cm$.
The longer side measures $6.5\ cm$
To do:
We have to find the measure of the shorter side.
Solution:
Let $x$ be the measure of the shorter side of the parallelogram.
We know that,
Opposite sides of a parallelogram are equal.
Therefore,
Perimeter$=2( l+b)$
$\Rightarrow 2(6.5\ cm+x)=22\ cm$
$\Rightarrow 13\ cm+2x=22\ cm$
$\Rightarrow 2x=22\ cm-13\ cm$
$\Rightarrow 2x=9\ cm$
$\Rightarrow x=\frac{9}{2}\ cm$
$\Rightarrow x=4.5\ cm$
Hence, the measure of the shorter side is $4.5\ cm$.
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