A rectangular photo frame encloses an area of 900 cm². The top edge of the frame is constructed out of heavier material than the other three sides. The material for the top edge weighs 200 g/cm and the other three sides are made from material weighing 100 g/cm. In this question we will calculate the dimensions of the frame that minimize the total weight. Ꮖ (a) Write an expression in terms of x and y for the total weight of the frame. (Do this in the most obvious way.) Weight = g (b) Find a constraint that allows you to express y in terms of x y = (c) The values of x and y that minimize the total weight are min = 9min = cm B cm

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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A rectangular photo frame encloses an area of 900 cm². The top edge of the frame is constructed out of heavier material than the other three sides.
The material for the top edge weighs 200 g/cm and the other three sides are made from material weighing 100 g/cm. In this question we will calculate the
dimensions of the frame that minimize the total weight.
Ꮖ
(a) Write an expression in terms of x and y for the total weight of the frame. (Do this in the most obvious way.)
Weight =
g
(b) Find a constraint that allows you to express y in terms of x
y =
(c) The values of x and y that minimize the total weight are
min =
9min =
cm
B
cm
Transcribed Image Text:A rectangular photo frame encloses an area of 900 cm². The top edge of the frame is constructed out of heavier material than the other three sides. The material for the top edge weighs 200 g/cm and the other three sides are made from material weighing 100 g/cm. In this question we will calculate the dimensions of the frame that minimize the total weight. Ꮖ (a) Write an expression in terms of x and y for the total weight of the frame. (Do this in the most obvious way.) Weight = g (b) Find a constraint that allows you to express y in terms of x y = (c) The values of x and y that minimize the total weight are min = 9min = cm B cm
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