### Problem Statement:Suppose that 404 feet of fencing are used to enclose a corral in the shape of a rectangle with a semicircle, whose diameter is a side of the rectangle, as shown in the following figure:**Diagram Explanation:**The diagram illustrates a rectangular corral with a semicircle on top. The diameter of the semicircle is the top side of the rectangle. The width of the rectangle is labeled as "x" and the height as "y".### Objective:Find the dimensions of the corral that will yield the maximum area.**Inputs for Solution:**- $ x = $ ____ ft.- $ y = $ ____ ft.

Area of the shape=Area of the semicircle+Area of rectangle .Area of semicircle=πx22x12…

Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as the following figure: y Find the dimensions of the corral with maximum area. X = ft. y = ft.

Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle as the following figure: y Find the dimensions of the corral with maximum area. X = ft. y = ft.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

### Problem Statement:

Suppose that 404 feet of fencing are used to enclose a corral in the shape of a rectangle with a semicircle, whose diameter is a side of the rectangle, as shown in the following figure:

**Diagram Explanation:**
The diagram illustrates a rectangular corral with a semicircle on top. The diameter of the semicircle is the top side of the rectangle. The width of the rectangle is labeled as "x" and the height as "y".

### Objective:

Find the dimensions of the corral that will yield the maximum area.

**Inputs for Solution:**

- $ x = $ ____ ft.
- $ y = $ ____ ft.

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