HTML:

<ya-map ya-zoom="10" ya-center="[37.75,55.73]">
    <ya-geo-object ya-source="geoObjects[0]" ya-options="{fillColor: '#00FF00',strokeColor: '#0000FF',opacity: 0.5,strokeWidth: 5,strokeStyle: 'shortdash'}"></ya-geo-object>
    <ya-geo-object ya-source="geoObjects[1]" ya-options="{fillColor: '#00FF0088',strokeWidth: 5}"></ya-geo-object>
</ya-map>
    

javascript:

$scope.geoObjects=[
    {
        geometry: {
            type: 'Polygon',
            coordinates: [
                [
                    [37.80,55.75],
                    [37.90,55.80],
                    [38.00,55.75],
                    [38.00,55.70],
                    [37.80,55.70]
                ],
                // Координаты вершин внутреннего контура.
                [
                    [37.82,55.75],
                    [37.98,55.75],
                    [37.90,55.65]
                ]
            ],
            fillRule: "nonZero"
        },
        properties: {
            balloonContent: "Многоугольник"
        }
    },
    {
        geometry: {
            type: 'Polygon',
            coordinates: [
                [
                    [37.50,55.75],
                    [37.60,55.80],
                    [37.70,55.75],
                    [37.70,55.70],
                    [37.50,55.70]
                ],
                // Координаты вершин внутреннего контура.
                [
                    [37.52,55.75],
                    [37.68,55.75],
                    [37.60,55.65]
                ]
            ]
        },
        properties: {
            hintContent: "Многоугольник"
        }
    }
];