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A piece of sheet metal in the shape of a parallelogram has a rectangular hole in it, as shown in the figure. (Use the rules for working with measurements to give your answers to the appropriate accuracy and/or precision.) 16.0 in. 21.9 in. 43.0 in. (a) Find the area of the piece that was punched out (in inches squared). in.2 (b) Find the area of the metal that is left (in inches squared). in.2 4. [-/2 Points] DETAILS EWENMATH12 12.3.029. MY NO P Type here to search 70°F Sunny 19.0 in.

A piece of sheet metal in the shape of a parallelogram has a rectangular hole in it, as shown in the figure. (Use the rules for working with measurements to give your answers to the appropriate accuracy and/or precision.) 16.0 in. 21.9 in. 43.0 in. (a) Find the area of the piece that was punched out (in inches squared). in.2 (b) Find the area of the metal that is left (in inches squared). in.2 4. [-/2 Points] DETAILS EWENMATH12 12.3.029. MY NO P Type here to search 70°F Sunny 19.0 in.

Elementary Geometry For College Students, 7e
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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**Problem Description:** A piece of sheet metal in the shape of a parallelogram has a rectangular hole in it, as shown in the figure. Use the rules for working with measurements to give your answers to the appropriate accuracy and/or precision. **Diagram Details:** - The outer shape is a parallelogram with a base of 43.0 inches and a height of 21.9 inches. - Inside the parallelogram is a rectangular hole measuring 8.0 inches by 16.0 inches. **Questions:** (a) Find the area of the piece that was punched out (in inches squared). \(\_\_\_\_\) in\(^2\) (b) Find the area of the metal that is left (in inches squared). \(\_\_\_\_\) in\(^2\) **Note:** Enter your answers in the text boxes provided. **Example Solution Steps:** 1. Calculate the area of the rectangular hole. 2. Calculate the area of the entire parallelogram. 3. Subtract the area of the hole from the area of the parallelogram to find the remaining metal area.
Transcribed Image Text:**Problem Description:** A piece of sheet metal in the shape of a parallelogram has a rectangular hole in it, as shown in the figure. Use the rules for working with measurements to give your answers to the appropriate accuracy and/or precision. **Diagram Details:** - The outer shape is a parallelogram with a base of 43.0 inches and a height of 21.9 inches. - Inside the parallelogram is a rectangular hole measuring 8.0 inches by 16.0 inches. **Questions:** (a) Find the area of the piece that was punched out (in inches squared). \(\_\_\_\_\) in\(^2\) (b) Find the area of the metal that is left (in inches squared). \(\_\_\_\_\) in\(^2\) **Note:** Enter your answers in the text boxes provided. **Example Solution Steps:** 1. Calculate the area of the rectangular hole. 2. Calculate the area of the entire parallelogram. 3. Subtract the area of the hole from the area of the parallelogram to find the remaining metal area.
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