a. An isosceles trapezoidal drainage gutter is to be made so that the angles at A and B in the cross-section ABCD are each 120°. If the 5 m long sheet of metal that has to be bent to form the open-topped gutter and the width of the sheet of metal is 60 cm, then determine the dimensions so that the cross-sectional area will be a maximum. D AB 245m→ b. Calculate the maximum volume of water that can be held by this gutter.

a. An isosceles trapezoidal drainage gutter is to be made so that the angles at A and B in the cross-section ABCD are each 120°. If the 5 m long sheet of metal that has to be bent to form the open-topped gutter and the width of the sheet of metal is 60 cm, then determine the dimensions so that the cross-sectional area will be a maximum. D AB 245m→ b. Calculate the maximum volume of water that can be held by this gutter.

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

Section8.2: Perimeter And Area Of Polygons

Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...

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