A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 - x. What are the dimensions of such a rectangle with the greatest possible area? Width = Height =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.4: Applications With Acute Triangles
Problem 45E
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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 - x. What
are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Transcribed Image Text:A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 - x. What are the dimensions of such a rectangle with the greatest possible area? Width = Height =
A rancher wants to fence in an area of 3,000,000 square feet in a rectangular field and then divide it in half
with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher
can use?
Transcribed Image Text:A rancher wants to fence in an area of 3,000,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
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