### Problem Description**Question 7:**Euness wants to order new carpet for her living room. The living room is rectangular, with a triangle and rectangle missing, as shown in the diagram. The dimensions are in feet. Diagram description: - The living room is a rectangular shape with dimensions 16 feet by 12 feet. - Two areas are subtracted from the rectangular shape: a smaller rectangle of 4 feet by 3 feet, and a right triangle with legs measuring 4 feet and 3 feet.- The missing triangle and rectangle are situated at the top and right-hand side of the diagram.**Question:**What is the area of the living room?**Answer Choices:**A. 174 square feetB. 192 square feetC. 282 square feetD. 300 square feet### Detailed Graph/Diagram Explanation1. **Original Rectangle:** - Length: 16 feet - Width: 12 feet - Area: \( 16 \times 12 = 192 \) square feet2. **Subtracted Rectangle:** - Length: 4 feet - Width: 3 feet - Area: \( 4 \times 3 = 12 \) square feet3. **Subtracted Triangle:** - Base: 4 feet - Height: 3 feet - Area: \( \frac{1}{2} \times 4 \times 3 = 6 \) square feet4. **Net Area of Living Room:** - Area of original rectangle minus the areas of the subtracted rectangle and triangle: \( 192 - 12 - 6 = 174 \) square feetThus, the correct answer is:**A. 174 square feet**

Answered: Image /qna-images/answer/71905a8e-6afb-4da1-809d-5ce26caf01bf.jpg

7. Euness wants to order new carpet for her living room. The living room is rectangular, with a triangle and rectangle missing, as shown. The dimensions are in feet. 16 ft 4 ft 3 ft 12 ft LIVING ROOM 4 ft 3 ft What is the area of the living room? A. 174 square feet B. 192 square feet C. 282 square feet D. 300 square feet

7. Euness wants to order new carpet for her living room. The living room is rectangular, with a triangle and rectangle missing, as shown. The dimensions are in feet. 16 ft 4 ft 3 ft 12 ft LIVING ROOM 4 ft 3 ft What is the area of the living room? A. 174 square feet B. 192 square feet C. 282 square feet D. 300 square feet

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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