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The area of the composite figure below is 91.7 square centimeters. х ст 5.3 сm 7.2 cm х ст →+9.8 cm- What is the value of x?

The area of the composite figure below is 91.7 square centimeters. х ст 5.3 сm 7.2 cm х ст →+9.8 cm- What is the value of x?

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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# Days 10 Final Check Point Quiz ## Composite Area Calculation **Problem Statement:** The area of the composite figure below is 91.7 square centimeters. **Diagram Description:** - The figure consists of a trapezoid and a triangle. - The trapezoid has: - A height of 5.3 cm - One of its parallel sides is labeled as \( x \) cm - The other parallel side is the sum of \( x \) cm and 9.8 cm - The triangle has: - A base of 9.8 cm - A height of 7.2 cm **Question:** What is the value of \( x \)? **Multiple Choice Options:** 1. About 7.8 cm 2. About 10.6 cm 3. About 12.4 cm 4. About 14.0 cm ### Explanation of Figures: **Trapezoid:** - The height is marked as 5.3 cm. - The lengths of the parallel sides are \( x \) cm and \( x + 9.8 \) cm. **Triangle:** - The base length is 9.8 cm. - The height is marked as 7.2 cm. **Calculation Method:** To find \( x \), you would generally use the formula for the area of a trapezoid and the area of a triangle joining the sum of the areas to equal the total area provided. ### Steps to Solve: 1. Calculate the area of the triangle. 2. Use the total composite area and the triangle area to find the remaining area that belongs to the trapezoid. 3. Solve for \( x \) using the trapezoid area formula. By examining the structure and known measurements, you can determine the values and arrive at an accurate calculation for \( x \).
Transcribed Image Text:# Days 10 Final Check Point Quiz ## Composite Area Calculation **Problem Statement:** The area of the composite figure below is 91.7 square centimeters. **Diagram Description:** - The figure consists of a trapezoid and a triangle. - The trapezoid has: - A height of 5.3 cm - One of its parallel sides is labeled as \( x \) cm - The other parallel side is the sum of \( x \) cm and 9.8 cm - The triangle has: - A base of 9.8 cm - A height of 7.2 cm **Question:** What is the value of \( x \)? **Multiple Choice Options:** 1. About 7.8 cm 2. About 10.6 cm 3. About 12.4 cm 4. About 14.0 cm ### Explanation of Figures: **Trapezoid:** - The height is marked as 5.3 cm. - The lengths of the parallel sides are \( x \) cm and \( x + 9.8 \) cm. **Triangle:** - The base length is 9.8 cm. - The height is marked as 7.2 cm. **Calculation Method:** To find \( x \), you would generally use the formula for the area of a trapezoid and the area of a triangle joining the sum of the areas to equal the total area provided. ### Steps to Solve: 1. Calculate the area of the triangle. 2. Use the total composite area and the triangle area to find the remaining area that belongs to the trapezoid. 3. Solve for \( x \) using the trapezoid area formula. By examining the structure and known measurements, you can determine the values and arrive at an accurate calculation for \( x \).
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