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A rectangle with a length of 20 centimeters and an unknown width of x centimeters has a smaller rectangle cut out of it. The smaller rectangle has a length of 16 cm and a width of x-3. The area of the shaded region (what remains) is 80 square centimeters. Set up and solve an equation for the value of x. 20 cm 16 cm x-3

A rectangle with a length of 20 centimeters and an unknown width of x centimeters has a smaller rectangle cut out of it. The smaller rectangle has a length of 16 cm and a width of x-3. The area of the shaded region (what remains) is 80 square centimeters. Set up and solve an equation for the value of x. 20 cm 16 cm x-3

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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A rectangle with a length of 20 centimeters and an unknown width of \( x \) centimeters has a smaller rectangle cut out of it. The smaller rectangle has a length of 16 cm and a width of \( x - 3 \). The area of the shaded region (what remains) is 80 square centimeters. Set up and solve an equation for the value of \( x \). **Diagram Explanation:** The diagram shows a larger rectangle outlined in gray with dimensions labeled as 20 cm by \( x \). Inside this larger rectangle, a smaller rectangle is depicted with dimensions labeled as 16 cm by \( x - 3 \). The area outside the smaller rectangle but within the larger one is shaded, indicating this is the region whose area is given (80 square centimeters). The task is to determine the value of \( x \) by setting up and solving the corresponding equation based on the given dimensions and areas.
Transcribed Image Text:A rectangle with a length of 20 centimeters and an unknown width of \( x \) centimeters has a smaller rectangle cut out of it. The smaller rectangle has a length of 16 cm and a width of \( x - 3 \). The area of the shaded region (what remains) is 80 square centimeters. Set up and solve an equation for the value of \( x \). **Diagram Explanation:** The diagram shows a larger rectangle outlined in gray with dimensions labeled as 20 cm by \( x \). Inside this larger rectangle, a smaller rectangle is depicted with dimensions labeled as 16 cm by \( x - 3 \). The area outside the smaller rectangle but within the larger one is shaded, indicating this is the region whose area is given (80 square centimeters). The task is to determine the value of \( x \) by setting up and solving the corresponding equation based on the given dimensions and areas.
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