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Find the area of this figure.

Find the area of this figure.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Finding the Area of a Composite Figure This diagram represents a large rectangular shape with dimensions of 12 meters in width and 15 meters in height, with a smaller rectangular section cut out from the bottom middle. #### Dimensions: - **Overall rectangle**: 12 meters wide by 15 meters high - **Cut-out rectangle**: - Width: 5 meters - Height: 8 meters #### Task: Calculate the area of the shaded, composite shape by determining the area of the whole rectangle and then subtracting the area of the cut-out rectangle. ### Solution Steps: 1. **Calculate the total area of the large rectangle**: - Area = Width × Height - Area = 12 m × 15 m 2. **Calculate the area of the cut-out rectangle**: - Area = Width × Height - Area = 5 m × 8 m 3. **Subtract the area of the cut-out from the total area to find the area of the shaded region**. Fill in the final answer as: ____ sq. meters. This problem helps in understanding how to compute areas of composite figures by breaking them into smaller parts.
Transcribed Image Text:### Finding the Area of a Composite Figure This diagram represents a large rectangular shape with dimensions of 12 meters in width and 15 meters in height, with a smaller rectangular section cut out from the bottom middle. #### Dimensions: - **Overall rectangle**: 12 meters wide by 15 meters high - **Cut-out rectangle**: - Width: 5 meters - Height: 8 meters #### Task: Calculate the area of the shaded, composite shape by determining the area of the whole rectangle and then subtracting the area of the cut-out rectangle. ### Solution Steps: 1. **Calculate the total area of the large rectangle**: - Area = Width × Height - Area = 12 m × 15 m 2. **Calculate the area of the cut-out rectangle**: - Area = Width × Height - Area = 5 m × 8 m 3. **Subtract the area of the cut-out from the total area to find the area of the shaded region**. Fill in the final answer as: ____ sq. meters. This problem helps in understanding how to compute areas of composite figures by breaking them into smaller parts.
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