Any number of polygons can be displayed on map. Polygons can also respond to selection by via overlaySelect behavior.
<script src="https://maps.google.com/maps/api/js?key=AIzaSyCvCDkYieuUBmMWon_mfLAfjuaeuosuqow&sensor=false"></script>
<div class="card">
    <h:form prependId="false">
        <p:growl id="growl" life="3000" showDetail="true"/>
        <p:gmap id="gmap" center="36.890257,30.707417" zoom="13" type="HYBRID" style="width:100%;height:400px"
                model="#{polygonsView.polygonModel}">
            <p:ajax event="overlaySelect" listener="#{polygonsView.onPolygonSelect}" update="growl"/>
        </p:gmap>
    </h:form>
</div>
package org.primefaces.showcase.view.data.gmap;
import org.primefaces.event.map.OverlaySelectEvent;
import org.primefaces.model.map.DefaultMapModel;
import org.primefaces.model.map.LatLng;
import org.primefaces.model.map.MapModel;
import org.primefaces.model.map.Overlay;
import org.primefaces.model.map.Polygon;
import java.io.Serializable;
import jakarta.annotation.PostConstruct;
import jakarta.faces.application.FacesMessage;
import jakarta.faces.context.FacesContext;
import jakarta.faces.view.ViewScoped;
import jakarta.inject.Named;
@Named
@ViewScoped
public class PolygonsView implements Serializable {
    private MapModel<Long> polygonModel;
    @PostConstruct
    public void init() {
        polygonModel = new DefaultMapModel<>();
        //Shared coordinates
        LatLng coord1 = new LatLng(36.879466, 30.667648);
        LatLng coord2 = new LatLng(36.883707, 30.689216);
        LatLng coord3 = new LatLng(36.879703, 30.706707);
        //Polygon
        Polygon<Long> polygon = new Polygon<>();
        polygon.setData(1L);
        polygon.getPaths().add(coord1);
        polygon.getPaths().add(coord2);
        polygon.getPaths().add(coord3);
        polygon.setStrokeColor("#FF9900");
        polygon.setFillColor("#FF9900");
        polygon.setStrokeOpacity(0.7);
        polygon.setFillOpacity(0.7);
        polygonModel.addOverlay(polygon);
    }
    public MapModel<Long> getPolygonModel() {
        return polygonModel;
    }
    public void onPolygonSelect(OverlaySelectEvent<Long> event) {
        Overlay<Long> overlay = event.getOverlay();
        FacesContext.getCurrentInstance().addMessage(null,
                new FacesMessage(FacesMessage.SEVERITY_INFO, "Polygon " + overlay.getData() + " Selected", null));
    }
}