Find the area of the following trapezoids: ### Finding the Area of TrapezoidsTo find the area of a trapezoid, use the formula:\[ \text{Area} = \frac{1}{2} \times (a + b) \times h \]where \(a\) and \(b\) are the lengths of the bases, and \(h\) is the height.Below are three trapezoids for which you are asked to find the area. #### Problem 7:- **Bases**: \(14\) and \(10.6\)- **Height**: The problem does not directly provide the height, and it uses two 70-degree angles and vertical lines to depict a possibly different scenario of calculation. However, under typical conditions using height would apply.#### Problem 8:- **Bases**: \(3\) and \(5\)- **Height**: \(4\)#### Problem 9:- **Bases**: \(5\) and \(7\)- **Height**: \(10\)### Detailed Steps:#### Problem 7:This is a more complex trapezoid because it includes additional angle and side annotations. To find the height:1. Understand the structure and the given dimensions effectively.2. Use geometric properties or trigonometric ratios to determine the height, which requires considering given degrees.#### Problem 8:1. Add the bases: \(3 + 5 = 8\).2. Multiply by the height: \(8 \times 4 = 32\).3. Divide by 2: \( \frac{32}{2} = 16 \).So, the area of trapezoid 8 is \( 16 \text{ square units} \).#### Problem 9:1. Add the bases: \(5 + 7 = 12\).2. Multiply by the height: \(12 \times 10 = 120\).3. Divide by 2: \( \frac{120}{2} = 60 \).So, the area of trapezoid 9 is \( 60 \text{ square units} \).Use these principles and calculations to find the area of each trapezoid. Practice helps in refining the understanding and application of these geometric concepts.

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Math

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Find the area trapezoids: 14. 7. \70° 70% 5 10.6 5

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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