``````import { Rectangle } from '@pixi/math';

/**
* Determines whether the `other` Rectangle is contained within `this` Rectangle object.
* Rectangles that occupy the same space are considered to be containing each other.
* Rectangles without area (width or height equal to zero) can't contain anything,
* not even other arealess rectangles.
*
* _Note: Only available with **@pixi/math-extras**._
* @method containsRect
* @memberof PIXI.Rectangle#
* @param {Rectangle} other - The Rectangle to fit inside `this`.
* @returns {boolean} A value of `true` if `this` Rectangle contains `other`; otherwise `false`.
*/
Rectangle.prototype.containsRect = function containsRect(other: Rectangle): boolean
{
if (other.width <= 0 || other.height <= 0)
{
return other.x > this.x && other.y > this.y && other.right < this.right && other.bottom < this.bottom;
}

return other.x >= this.x && other.y >= this.y && other.right <= this.right && other.bottom <= this.bottom;
};

/**
* Accepts `other` Rectangle and returns true if the given Rectangle is equal to `this` Rectangle.
*
* _Note: Only available with **@pixi/math-extras**._
* @method equals
* @memberof PIXI.Rectangle#
* @param {Rectangle} other - The Rectangle to compare with `this`
* @returns {boolean} Returns true if all `x`, `y`, `width`, and `height` are equal.
*/
Rectangle.prototype.equals = function equals(other: Rectangle): boolean
{
if (other === this)
{
return true;
}

return other && this.x === other.x && this.y === other.y && this.width === other.width && this.height === other.height;
};

/**
* If the area of the intersection between the Rectangles `other` and `this` is not zero,
* returns the area of intersection as a Rectangle object. Otherwise, return an empty Rectangle
* with its properties set to zero.
* Rectangles without area (width or height equal to zero) can't intersect or be intersected
* and will always return an empty rectangle with its properties set to zero.
*
* _Note: Only available with **@pixi/math-extras**._
* @method intersection
* @memberof PIXI.Rectangle#
* @param {Rectangle} other - The Rectangle to intersect with `this`.
* @param {Rectangle} [outRect] - A Rectangle object in which to store the value,
* optional (otherwise will create a new Rectangle).
* @returns {Rectangle} The intersection of `this` and `other`.
*/
Rectangle.prototype.intersection = function intersection<T extends Rectangle>(other: Rectangle, outRect?: T): T
{
if (!outRect)
{
(outRect as any) = new Rectangle();
}

const x0 = this.x < other.x ? other.x : this.x;
const x1 = this.right > other.right ? other.right : this.right;

if (x1 <= x0)
{
outRect.x = outRect.y = outRect.width = outRect.height = 0;

return outRect;
}

const y0 = this.y < other.y ? other.y : this.y;
const y1 = this.bottom > other.bottom ? other.bottom : this.bottom;

if (y1 <= y0)
{
outRect.x = outRect.y = outRect.width = outRect.height = 0;

return outRect;
}

outRect.x = x0;
outRect.y = y0;
outRect.width = x1 - x0;
outRect.height = y1 - y0;

return outRect;
};

/**
* Adds `this` and `other` Rectangles together to create a new Rectangle object filling
* the horizontal and vertical space between the two rectangles.
*
* _Note: Only available with **@pixi/math-extras**._
* @method union
* @memberof PIXI.Rectangle#
* @param {Rectangle} other - The Rectangle to unite with `this`.
* @param {Rectangle} [outRect] - A Rectangle object in which to store the value,
* optional (otherwise will create a new Rectangle).
* @returns {Rectangle} The union of `this` and `other`.
*/
Rectangle.prototype.union = function union<T extends Rectangle>(other: Rectangle, outRect?: T): T
{
if (!outRect)
{
(outRect as any) = new Rectangle();
}

const x1 = Math.min(this.x, other.x);
const x2 = Math.max(this.x + this.width, other.x + other.width);
const y1 = Math.min(this.y, other.y);
const y2 = Math.max(this.y + this.height, other.y + other.height);

outRect.x = x1;
outRect.y = y1;
outRect.width = x2 - x1;
outRect.height = y2 - y1;

return outRect;
};
``````