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James made his mother a quilt. The width is 7 ft and the length is 5 - ft. What is the area of 1. 2 5 the quilt? )

James made his mother a quilt. The width is 7 ft and the length is 5 - ft. What is the area of 1. 2 5 the quilt? )

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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### Math Problem: Calculating the Area of a Quilt #### Problem Statement James made his mother a quilt. The width is \(7 \frac{2}{5}\) ft and the length is \(5 \frac{1}{2}\) ft. What is the area of the quilt? #### Steps to Solve: 1. Convert the mixed numbers to improper fractions. - Width: \(7 \frac{2}{5} = \frac{37}{5}\) - Length: \(5 \frac{1}{2} = \frac{11}{2}\) 2. Multiply the two improper fractions to find the area. - \(\text{Area} = \frac{37}{5} \times \frac{11}{2} = \frac{37 \times 11}{5 \times 2} = \frac{407}{10}\) 3. Simplify the fraction, if possible. - \(\frac{407}{10} = 40.7\) #### Conclusion The area of the quilt is \(40.7\) square feet. #### Interactive Section Solve on paper. Then check your work on Zearn (an educational platform). The area of the quilt is \( ☐ ☐ \) ft². #### User Input Below, input your answer by selecting the digits from the interactive keypad. Keypad: [1][2][3][4][5][6][7][8][9][0][⌫][Enter ✔] #### Diagram Explanation: There are no graphs or diagrams in this problem. The solution involves converting mixed fractions to improper fractions, multiplying them, and simplifying the result.
Transcribed Image Text:### Math Problem: Calculating the Area of a Quilt #### Problem Statement James made his mother a quilt. The width is \(7 \frac{2}{5}\) ft and the length is \(5 \frac{1}{2}\) ft. What is the area of the quilt? #### Steps to Solve: 1. Convert the mixed numbers to improper fractions. - Width: \(7 \frac{2}{5} = \frac{37}{5}\) - Length: \(5 \frac{1}{2} = \frac{11}{2}\) 2. Multiply the two improper fractions to find the area. - \(\text{Area} = \frac{37}{5} \times \frac{11}{2} = \frac{37 \times 11}{5 \times 2} = \frac{407}{10}\) 3. Simplify the fraction, if possible. - \(\frac{407}{10} = 40.7\) #### Conclusion The area of the quilt is \(40.7\) square feet. #### Interactive Section Solve on paper. Then check your work on Zearn (an educational platform). The area of the quilt is \( ☐ ☐ \) ft². #### User Input Below, input your answer by selecting the digits from the interactive keypad. Keypad: [1][2][3][4][5][6][7][8][9][0][⌫][Enter ✔] #### Diagram Explanation: There are no graphs or diagrams in this problem. The solution involves converting mixed fractions to improper fractions, multiplying them, and simplifying the result.
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