The 6 segment ofthewindow frame shown in the diagram are tobe constructed from a piece of window framing material 6 m in length. A carpenterwants to build a frame for a rural gothic style window, where triangle ABC is equilateral .The window must fit inside a space that is 1 m wide and 3 m high.
Please help me if you can . Thank you in advance!
sorry my bad i forgot to post the rest of the question and the diagram which is basically a triangle on top of the square like this
.................................................. .............................A
.................................................. .............................*....
.................................................. ......................B *.......* C
.................................................. ....................... *******
.................................................. ........................*.........*
.................................................. ........................*.........*
.................................................. ........................*******
Determine the dimensions that should be used for the 6 pieces so that the maximum amount of light will be admitted.Assume no waste material for corner cuts and so on.
Hello, Anna!
The 6 segments of the window frame shown in the diagram
are to be constructed from a piece of window framing material 6 m in length.
A carpenter wants to build a frame for a rural gothic style window,
where triangle ABC is equilateral.
The window must fit inside a space that is 1 m wide and 3 m high. . . . . not needed
Determine the dimensions that will maximize the area of the window.The total length of the framework is .Code:B * / \ x / \ x / \ A * - - - * C | x | y | | y | | * - - - * x
The area of an equilateral triangle of side is: .
The area of the rectangle is: .
The total area is: .
Substitute [1] into [2]: .
. . and that is the function you must maxiimize.