Constructing a Border around a Pool Rework Problem 105 if the depth of the border is 4 inches.

Name: Problem 106, Chapter 1: College Algebra
Uploaded: 2020-04-17T09:07:00-08:00
Duration: 2 min 34 s
Channel: Ankit Gupta
Description: Constructing a Border around a Pool Rework Problem 105 if the depth of the border is 4 inches.

step 1 We have to find width of the concrete border for this we have diameter of the pool is equal to 1

Constructing a Border around a Pool Rework Problem 105 if...

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Key Concepts

Composite Figures

This concept involves combining two or more simple shapes to model a more complex shape. In the context of constructing a border around a pool, the composite figure comprises the original pool area and the surrounding border, and solving the problem requires calculating the total dimensions and areas of both parts combined.

Geometric Border Construction

This concept refers to the process of adding a uniform border around an existing shape. It involves understanding how the dimensions of the original shape increase when a fixed-width border is added, which is essential for determining new measurements such as the overall area or perimeter of the combined shape.

Area and Perimeter Calculation

Calculating the area and perimeter is crucial when dealing with problems that augment geometric figures with additional features like a border. This includes computing the area of the larger composite shape and sometimes subtracting the area of the inner shape to find the area covered solely by the border.

Unit Conversion

Unit conversion is important when the dimensions given in a problem are in different units. For instance, if the border depth is provided in inches while the pool dimensions are in feet, converting units correctly ensures that calculations are accurate and consistent.

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