A rectangular corral of 52 square meters is to be fenced off and then divided by a fence into two sections, as shown in the figure to the right. If the cost of fencing for the boundary is $10 per meter and the dividing fence costs $6 per meter, find the dimensions of the corral that minimize the cost of the fencing. The dimensions that minimize the cost of the fencing are x= |and w = meters. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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A rectangular corral of 52 square meters is to
be fenced off and then divided by a fence into
two sections, as shown in the figure to the
right. If the cost of fencing for the boundary is
$10 per meter and the dividing fence costs $6
per meter, find the dimensions of the corral that
minimize the cost of the fencing.
The dimensions that minimize the cost of the fencing are x=
|and w =
meters.
(Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)
Transcribed Image Text:A rectangular corral of 52 square meters is to be fenced off and then divided by a fence into two sections, as shown in the figure to the right. If the cost of fencing for the boundary is $10 per meter and the dividing fence costs $6 per meter, find the dimensions of the corral that minimize the cost of the fencing. The dimensions that minimize the cost of the fencing are x= |and w = meters. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)
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