Question

Perform a mental calculation to find the answer and include the correct units. (If necessary, review Appendix $C$ ). Find the total area enclosed by 4 non-overlapping rectangles, if each rectangle has width 2 meters and the heights of the rectangles are $3,4,5,$ and 6 meters, respectively.

Name: Problem 3, Chapter 5: Calculus for Business, Economics, Life Sciences, and Social Sciences
Uploaded: 2021-06-27T17:15:25-08:00
Duration: 1 min
Channel: Lucas Finney
Description: Perform a mental calculation to find the answer and include the correct units. (If necessary, review Appendix C ). Find the total area enclosed by 4 non-overlapping rectangles, if each rectangle has width 2 meters and the heights of the rectangles are 3,4,5, and 6 meters, respectively.

   Perform a mental calculation to find the answer and include the correct units. (If necessary, review Appendix $C$ ).
Find the total area enclosed by 4 non-overlapping rectangles, if each rectangle has width 2 meters and the heights of the rectangles are $3,4,5,$ and 6 meters, respectively.

Calculus for Business, Economics, Life Sciences, and Social Sciences

Raymond A. Barnett,… 13th Edition

Chapter 5, Problem 3

Instant Answer

Solved by Expert Lucas Finney

06/27/2021

Step 1

The area of a rectangle is given by the formula width times height. Since the width of each rectangle is 2 meters, we can calculate the area of each rectangle as follows: - The area of the first rectangle is $2 \times 3 = 6$ square meters. - The area of the second Show more…

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Perform a mental calculation to find the answer and include the correct units. (If necessary, review Appendix $C$ ). Find the total area enclosed by 4 non-overlapping rectangles, if each rectangle has width 2 meters and the heights of the rectangles are $3,4,5,$ and 6 meters, respectively.

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Key Concepts

Area of a Rectangle

The area of a rectangle is determined by multiplying its width by its height. This basic geometric principle is essential for calculating the space enclosed within the boundaries of rectangular shapes.

Unit Consistency

Using consistent units in measurements is crucial. When dimensions are provided in a specific unit, such as meters, it is important to ensure that the area is expressed in the corresponding square unit, in this case, square meters.

Composite Area Calculation

When calculating the area of multiple non-overlapping shapes, the total area can be obtained by summing the individual areas. This relies on the additive property of area, which allows for each distinct region's area to be combined to form the total enclosed area.

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