Create square around a centerpoint with a specified area

getSquareAroundPointWithArea.js

// Note: Not sure how well it works with very large squares due to projection distortion

var turf = require('turf'); // For NodeJS

function getSquareAroundPointWithArea(point, area) {
    // Area in m2
    var coordinates = [];
    var areaInKm = area / 1000 / 1000;
    var edgeLength = Math.sqrt(areaInKm);
    var diagonal = Math.sqrt(Math.pow(edgeLength, 2) + Math.pow(edgeLength, 2));

    for (var i = 0; i < 4; i++) {
        var bearing = i * 90 + 45;
        var distance = diagonal / 2;
        var destination = turf.destination(point, distance, bearing);
        coordinates.push(destination.geometry.coordinates);
    }
    coordinates.push(coordinates[0]); // Close Polygon

    var square = turf.polygon([coordinates]);
    return square;
}