26. A rectangle has one vertex on the line y = 10 – x, x > 0, another at the origin, one on the positive x-axis, and one on the positive y-axis. Express the area A of the rectangle as a function of x. Find the largest area A that can be enclosed by the rectangle.

26. A rectangle has one vertex on the line y = 10 – x, x > 0, another at the origin, one on the positive x-axis, and one on the positive y-axis. Express the area A of the rectangle as a function of x. Find the largest area A that can be enclosed by the rectangle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter8: Areas Of Polygons And Circles

Section8.4: Cicumference And Area Of A Cicle

Problem 18E: A rectangle has an area of 36 in2. What is the limit smallest possible value of the perimeter of the...

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Question

26. A rectangle has one vertex on the line y = 10 – x, x > 0,
another at the origin, one on the positive x-axis, and one on
the positive y-axis. Express the area A of the rectangle as a
function of x. Find the largest area A that can be enclosed by
the rectangle.

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