a rectangular room is 9 feet narrower than its length. if 162 square feet of carpet is needed to cover the entire room, what is the length of the room?

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 rectangular room is 9 feet narrower than its length. if 162 square feet of carpet is needed to cover the entire room, what is the length of the room?

Expert Solution
Step 1

162 square feet of carpet is need for room it mean area of floor of room is 162.

Area = length× breadth

 

Difference between length and breadth is

Splitting 162  into two numbers having difference of 9.

 

162 = 18 × 9

162 = L × B

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