A window on a new house is designed as a rectangle with a semicircle on the top. If the window is designed to let in the maximum amount of light, and the architect fixes the perimeter of the window to be 870 cm, determine the radius r (of the semicircle) and height h of the rectangle so as to maximize the area. Enter the exact answer or round to the nearest hundredth. Answer E Keypad Keyboard Shortcut

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 34E
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A window on a new house is designed as a rectangle with a semicircle on the top.
If the window is designed to let in the maximum amount of light, and the architect fixes the perimeter of the window to be 870 cm, determine the radius r (of the
semicircle) and height h of the rectangle so as to maximize the area.
Enter the exact answer or round to the nearest hundredth.
Answer
E Keypad
Keyboard Shortcut
cm
h =
cm
Transcribed Image Text:A window on a new house is designed as a rectangle with a semicircle on the top. If the window is designed to let in the maximum amount of light, and the architect fixes the perimeter of the window to be 870 cm, determine the radius r (of the semicircle) and height h of the rectangle so as to maximize the area. Enter the exact answer or round to the nearest hundredth. Answer E Keypad Keyboard Shortcut cm h = cm
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