HTML:

<ya-map ya-zoom="11" ya-center="[37.601,55.674]">
    <ya-geo-object ya-source="geoObjects[0]" ya-options="{draggable: true,fillColor: '#ffff0022',strokeColor: '#3caa3c88',strokeWidth: 7}"></ya-geo-object>
    <ya-geo-object ya-source="geoObjects[1]" ya-options="{fillColor: '#7df9ff33',fillOpacity: 0.5,strokeColor: '#0000FF',strokeOpacity: 0.5,strokeWidth: 2,borderRadius: 6}"></ya-geo-object>
</ya-map>
    

javascript:

$scope.geoObjects=[
    {
        geometry: {
            type: 'Rectangle',
            coordinates: [
                [37.66,55.665],
                [37.53,55.64]
            ]
        },
        properties: {
            hintContent: 'Перетащи меня!',
            balloonContent: 'Прямоугольник 2'
        }
    },
    {
        geometry: {
            type: 'Rectangle',
            coordinates: [
                [37.60,55.66],
                [37.69,55.71]
            ]
        },
        properties: {
            hintContent: 'Меня перетаскивать нельзя!',
            balloonContent: 'Прямоугольник 1'
        }
    }
];