A Norman window is in the shape of a rectangle surmounted by a semi-circle. 38. Which of the following equations is the correct representation of the perimeter (P) of the Norman window where x is the radius of the semi-circle and y is the height of the rectangle? A. P= 2x + 2y + x C. P = x+y+πx B. P = 2x + 2y + 2x D. P = x+y+2πx 39. What is the ratio of the width of the rectangle to the total height so that it will yield a window admitting the most light for a given perimeter? (Note: use π 3.1416) A. 0.25 C. 0.75 B. 0.50 D. 1 40. What is the maximum area of the Norman window if the allowable perimeter is 22 feet? (Note: use T≈ 3.1416

A Norman window is in the shape of a rectangle surmounted by a semi-circle. 38. Which of the following equations is the correct representation of the perimeter (P) of the Norman window where x is the radius of the semi-circle and y is the height of the rectangle? A. P= 2x + 2y + x C. P = x+y+πx B. P = 2x + 2y + 2x D. P = x+y+2πx 39. What is the ratio of the width of the rectangle to the total height so that it will yield a window admitting the most light for a given perimeter? (Note: use π 3.1416) A. 0.25 C. 0.75 B. 0.50 D. 1 40. What is the maximum area of the Norman window if the allowable perimeter is 22 feet? (Note: use T≈ 3.1416

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...

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