The sum of the perimeters of an equilateral triangle and a square is 19. Find the dimensions of the triangle and the square t produce a minimum total area. A side of square: B D side of square: side of square: side of square: side of square: 19 4+9√3 57 4+9√3 57 4+9√3 19√√3 4+9√√3 19 4+9√3 ; side of triangle: ; side of triangle: ; side of triangle: ; side of triangle: ; side of triangle: 38 4+9√ √3 19√√/3 4+9√3 19 4+9√3 57 4+9√3 57√3 4+9√√3

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
Problem 2P
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The sum of the perimeters of an equilateral triangle and a square is 19. Find the dimensions of the triangle and the square that
produce a minimum total area.
A side of square:
B
D
side of square:
side of square:
side of square:
side of square:
19
4+9√3
57
4+9√3
57
4+9√3
19√√3
4+9√√3
19
4+9√3
; side of triangle:
; side of triangle:
; side of triangle:
; side of triangle:
; side of triangle:
38
4+9√ √3
19√√/3
4+9√3
19
4+9√3
57
4+9√3
57√√3
4+9√√3
Transcribed Image Text:The sum of the perimeters of an equilateral triangle and a square is 19. Find the dimensions of the triangle and the square that produce a minimum total area. A side of square: B D side of square: side of square: side of square: side of square: 19 4+9√3 57 4+9√3 57 4+9√3 19√√3 4+9√√3 19 4+9√3 ; side of triangle: ; side of triangle: ; side of triangle: ; side of triangle: ; side of triangle: 38 4+9√ √3 19√√/3 4+9√3 19 4+9√3 57 4+9√3 57√√3 4+9√√3
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