I want to set content and script for each area in ASP.NET MVC.

Isn't it Area s instead of Area?

in the following configurations:

Style.css is

body{
    background-color:skyblue;
}

@ If you specify directly in Url.Content, for example, to prepare a link tag in _Layout.cshtml, you can specify:
I think you can specify the same without using Layout.

<link href="@Url.Content("~/Areas/hogehoge/Content/Style.css")"rel="stylesheet" type="text/css"/>

Page with style

However, it would be better to add bundles as much as possible and add them in @Styles.Render.
To do so, do the following:

First, open App_Start/BundleConfig.cs.

Add the following bundles.Add

bundles.Add(new StyleBundle("~/Areas/hogehoge/Content/css").Include(
          "~/Areas/hogehoge/Content/Style.css"
    ));

Change the <link href="@Url.Content line that you just added as follows:

@Styles.Render("~/Areas/hogehoge/Content/css")

If you added a style, increase the Include argument in Bundles.Add.
(bundles.Add (new StyleBundle("~/Content/css"). that you may already have will be helpful.)

Incidentally, BundleTable.Bundles.ResolveBundleUrl( for example

<!--
   @ System.Web.Optimization.BundleTable.Bundles.ResolveBundleUrl("~/Areas/hogehoge/Content/cs") 
-->

HTML will be printed as follows, so

<!--
    /Areas/hogehoge/Content/css?v=yhOQn7MXW55kWVM6x07Bf3QlCaPBa716IIGs-NlMwiA1 
-->

I think I can get the target URL properly.