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Suppose that a pentagon is composed of a rectangle topped by an isosceles triangle. If the length of the perimeter is fixed, find the maximum possible area. Assume that the sides of the triangle that are required to be same length do not share a side with the rectangle.

Suppose that a pentagon is composed of a rectangle topped by an isosceles triangle. If the length of the perimeter is fixed, find the maximum possible area. Assume that the sides of the triangle that are required to be same length do not share a side with the rectangle.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.3, # 52) Suppose that a pentagon is composed of a rectangle topped by an isosceles triangle. If the length of the perimeter is fixed, find the maximum possible area. Assume that the sides of the triangle that are required to be same length do not share a side with the rectangle.
Transcribed Image Text:3) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.3, # 52) Suppose that a pentagon is composed of a rectangle topped by an isosceles triangle. If the length of the perimeter is fixed, find the maximum possible area. Assume that the sides of the triangle that are required to be same length do not share a side with the rectangle.
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