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perimeter P. 8. An equilateral triangle has the same perimeter as a regular pentagon. Find the side length of the triangle ST, in terms of Find the side length of the pentagon Sp, in terms of perimeter P. Find the area of the triangle Ar, in terms of perimeter P. d. Find the aera of the pentagon Ap, in terms of perimeter P. e. Which figure has the larger area? a. b. c.

perimeter P. 8. An equilateral triangle has the same perimeter as a regular pentagon. Find the side length of the triangle ST, in terms of Find the side length of the pentagon Sp, in terms of perimeter P. Find the area of the triangle Ar, in terms of perimeter P. d. Find the aera of the pentagon Ap, in terms of perimeter P. e. Which figure has the larger area? a. b. c.

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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8. An equilateral triangle has the same perimeter as a regular pentagon. a. Find the side length of the triangle \( s_T \), in terms of perimeter \( P \). b. Find the side length of the pentagon \( s_P \), in terms of perimeter \( P \). c. Find the area of the triangle \( A_T \), in terms of perimeter \( P \). d. Find the area of the pentagon \( A_P \), in terms of perimeter \( P \). e. Which figure has the larger area?
Transcribed Image Text:8. An equilateral triangle has the same perimeter as a regular pentagon. a. Find the side length of the triangle \( s_T \), in terms of perimeter \( P \). b. Find the side length of the pentagon \( s_P \), in terms of perimeter \( P \). c. Find the area of the triangle \( A_T \), in terms of perimeter \( P \). d. Find the area of the pentagon \( A_P \), in terms of perimeter \( P \). e. Which figure has the larger area?
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Step 1

An equilateral triangle has the same perimeter as a regular pentagon. To find the following

  1. The side length of the triangle ST, in terms of perimeter P.
  2. The side length of the pentagon Sp, in terms of perimeter P.
  3. Area of the triangle Ar, in terms of perimeter P.
  4. Area of the pentagon Ap, in terms of perimeter P.
  5. Which figure has the larger area?
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