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Comparing Rug Dimensions and Area: The Relationship
Chapter 1, Problem Question 1(choose chapter or problem)
Two rectangular rugs are on display in a showroom. If one rug istwice as long as the other, does this necessarily mean that its area isalso twice as large as that of the second? Explain.
Questions & Answers
QUESTION:
Two rectangular rugs are on display in a showroom. If one rug istwice as long as the other, does this necessarily mean that its area isalso twice as large as that of the second? Explain.
ANSWER:Step 1 of 2
Let's examine two rugs. The first rug has dimensions l1 (length) and w1 (width), while the second carpet has dimensions l2 and w2. We know that the area of a rectangle is given by its length multiplied by its width. So, the areas of these carpets can be represented as A1=l1\times w1 and A2=l2\times w2.
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Comparing Rug Dimensions and Area: The Relationship
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Step into the showroom as we explore the intriguing connection between rug dimensions and area. Learn whether a rug being twice as long as another implies its area is also doubled. Join us for a comprehensive explanation of this geometric concept.