**Title: Area of a Piecewise Rectangular Figure****Description:**This exercise focuses on finding the area of a composite figure made up of rectangles. The sides meet at right angles.**Diagram Details:**- The figure is an irregular polygon with three connected rectangles.- Dimensions are given in yards (yd).**Measurements:**1. The bottom horizontal segment is 10 yards long.2. The left vertical segment is 8 yards long.3. The top horizontal segment, parallel to the bottom, is 3 yards long on both ends of the figure.4. The right vertical segment is 3 yards long.5. The middle section includes two 4-yard segments—one vertical and one horizontal.**Task:**Calculate the area of the entire figure. Input the value in the provided field marked with "□ yd²."**Instructions:**- Break down the composite shape into simpler rectangles.- Calculate the area for each rectangle.- Sum the areas of the rectangles to find the total area.**Options:**- Explanation button for detailed steps on solving the problem.- Check button to verify your answer.**Source:**© 2020 McGraw-Hill Education. All Rights Reserved.

The figure is shown shown below.

Answered: Find the area of the figure. (Sides…

Math

Geometry

Find the area of the figure. (Sides meet at right angles.) 3 yd 3 yd 4 yd yd 8 yd S yd 4 yd 10 yd

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

**Title: Area of a Piecewise Rectangular Figure**

**Description:**

This exercise focuses on finding the area of a composite figure made up of rectangles. The sides meet at right angles.

**Diagram Details:**

- The figure is an irregular polygon with three connected rectangles.
- Dimensions are given in yards (yd).

**Measurements:**

1. The bottom horizontal segment is 10 yards long.
2. The left vertical segment is 8 yards long.
3. The top horizontal segment, parallel to the bottom, is 3 yards long on both ends of the figure.
4. The right vertical segment is 3 yards long.
5. The middle section includes two 4-yard segments—one vertical and one horizontal.

**Task:**

Calculate the area of the entire figure. Input the value in the provided field marked with "□ yd²."

**Instructions:**

- Break down the composite shape into simpler rectangles.
- Calculate the area for each rectangle.
- Sum the areas of the rectangles to find the total area.

**Options:**

- Explanation button for detailed steps on solving the problem.
- Check button to verify your answer.

**Source:**

© 2020 McGraw-Hill Education. All Rights Reserved.

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