Use EventTrigger elements to animate the MouseEnter and OnMouseLeave events of a Rectangle.
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<Page
xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml">
<Page.Resources>
<Style TargetType="Rectangle">
<Setter Property="Width" Value="50" />
<Setter Property="Height" Value="50" />
<Style.Triggers>
<EventTrigger RoutedEvent="MouseEnter">
<BeginStoryboard>
<Storyboard>
<DoubleAnimation To="300" Duration="0:0:1.5"
AccelerationRatio="0.10" DecelerationRatio="0.25"
Storyboard.TargetProperty="(Canvas.Width)" />
</Storyboard>
</BeginStoryboard>
</EventTrigger>
<EventTrigger RoutedEvent="MouseLeave">
<BeginStoryboard>
<Storyboard>
<DoubleAnimation Duration="0:0:1.5"
AccelerationRatio="0.10" DecelerationRatio="0.25"
Storyboard.TargetProperty="(Canvas.Width)" />
</Storyboard>
</BeginStoryboard>
</EventTrigger>
</Style.Triggers>
</Style>
</Page.Resources>
<StackPanel HorizontalAlignment="Left">
<Rectangle Fill="Red" />
</StackPanel>
</Page>
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