You will construct a fenced in area along the side of a building. The pen will be in the shape of a right triangle, and the hypotenuse will be formed by the building, so no fencing is needed there. The base side of the triangle will be wood fencing, which costs $5/foot, and the height side of the triangle will be metal fencing, which costs $3/foot. If the area of the pen must equal 300 ft^2? (and the area of a triangle is ½ base x height), what dimensions would minimize cost?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 24RE: A ladder has 15 tapered rungs, the lengths of which increase by a common difference. The first rung...
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You will construct a fenced in area along the side of a building. The pen will be in the shape of a right triangle, and the hypotenuse will be formed by the building, so no fencing is needed there. The base side of the triangle will be wood fencing, which costs $5/foot, and the height side of the triangle will be metal fencing, which costs $3/foot. If the area of the pen must equal 300 ft^2? (and the area of a triangle is ½ base x height), what dimensions would minimize cost?
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