SOLUTION: A piece of aluminium strip of length l m is used to make a window frame.The window frame consists of six identical small rectangles and each rectangle is x m long and y m long wide
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Question 243142: A piece of aluminium strip of length l m is used to make a window frame.The window frame consists of six identical small rectangles and each rectangle is x m long and y m long wide.Let the total area of the window encompassed by the aluminium stripes be A m^2.(Ignore the width of the aluminium strip in this question.)
a)Find the maximun value of A in terms of l.
b)Find the value of x/y so that the area of the window is a maximum allowing a maximum amount of light entering the room. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A piece of aluminum strip of length l m is used to make a window frame.
The window frame consists of six identical small rectangles and each rectangle is x m long and y m long wide.Let the total area of the window encompassed by the aluminum stripes be A m^2.(Ignore the width of the aluminum strip in this question.)
:
Assume they mean L meters, (not 1 meter)
a)Find the maximum value of A in terms of l.
Max area is an overall shape of a square
7 equal strips of aluminum required to have 6 window panes
A =
:
b)Find the value of x/y so that the area of the window is a maximum allowing a maximum amount of light entering the room.
:
The shape of the whole window is a square, however, the six panes are rectangular, x by y:
Ratio: =
(The square will be 3 windows long by 2 windows wide)
