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In this question, we will investigate the area of a rectangle that can be circumscribed about a given rectangle with length L and width W, as in the diagram below. (Note the outer red rectangle is touching all four corners of the inner rectangle, and no part of the red rectangle is inside the inner rectangle.) L W What is the minimum area of such a circumscribed rectangle? (The answer may depend on L and W. You should be able to determine this without any calculus.) Minimum area: Finding the maximum area is a little harder. To help you on your way, give the length of the segment marked x below in terms of L, W, and/or the angle a. x = L W Now, find the maximum area of a rectangle that can be circumscribed about a rectangle with width W and length L. Your answer may only depend on W and L. Maximum area =

In this question, we will investigate the area of a rectangle that can be circumscribed about a given rectangle with length L and width W, as in the diagram below. (Note the outer red rectangle is touching all four corners of the inner rectangle, and no part of the red rectangle is inside the inner rectangle.) L W What is the minimum area of such a circumscribed rectangle? (The answer may depend on L and W. You should be able to determine this without any calculus.) Minimum area: Finding the maximum area is a little harder. To help you on your way, give the length of the segment marked x below in terms of L, W, and/or the angle a. x = L W Now, find the maximum area of a rectangle that can be circumscribed about a rectangle with width W and length L. Your answer may only depend on W and L. Maximum area =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter3: Multi-step Equations And Inequalities
Section: Chapter Questions
Problem 14PTTS
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In this question, we will investigate the area of a rectangle that can be circumscribed about a given rectangle with length L and width W, as in the diagram below. (Note the outer red rectangle is touching all four corners of the inner rectangle, and no part of the red rectangle is inside the inner rectangle.) L W What is the minimum area of such a circumscribed rectangle? (The answer may depend on L and W. You should be able to determine this without any calculus.) Minimum area: Finding the maximum area is a little harder. To help you on your way, give the length of the segment marked x below in terms of L, W, and/or the angle a. x = L W Now, find the maximum area of a rectangle that can be circumscribed about a rectangle with width W and length L. Your answer may only depend on W and L. Maximum area =
Transcribed Image Text:In this question, we will investigate the area of a rectangle that can be circumscribed about a given rectangle with length L and width W, as in the diagram below. (Note the outer red rectangle is touching all four corners of the inner rectangle, and no part of the red rectangle is inside the inner rectangle.) L W What is the minimum area of such a circumscribed rectangle? (The answer may depend on L and W. You should be able to determine this without any calculus.) Minimum area: Finding the maximum area is a little harder. To help you on your way, give the length of the segment marked x below in terms of L, W, and/or the angle a. x = L W Now, find the maximum area of a rectangle that can be circumscribed about a rectangle with width W and length L. Your answer may only depend on W and L. Maximum area =
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