90. Architecture There is 24 feet of material available to trim the outer frame of a window shaped as in the diagram. a. Write an expression for the length of the semicircular arc (just the curved portion) in terms of x. b. Set up an equation relating the amount of available trim material to the lengths of the parts of the window that are to be covered with the trim. Solve this equation for y. c. Write an expression for the area of the window in terms of x. d. What are the dimensions of the window that will maximize the area of the window? What is the maximum area of the window?
90. Architecture There is 24 feet of material available to trim the outer frame of a window shaped as in the diagram. a. Write an expression for the length of the semicircular arc (just the curved portion) in terms of x. b. Set up an equation relating the amount of available trim material to the lengths of the parts of the window that are to be covered with the trim. Solve this equation for y. c. Write an expression for the area of the window in terms of x. d. What are the dimensions of the window that will maximize the area of the window? What is the maximum area of the window?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 8AGP
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