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## Homework Statement

a gothic window it to be built with 6 segments that total 6m in length. The window must fit inside an area that is 1m wide and 3 meters tall. the triangle on top must be equilateral. What is the maximum area of the window.

## Homework Equations

## The Attempt at a Solution

so i made each of the sides of the trianle x and the width at the bottom of the rectangle x, then the sides of the rectangle equal to y. so the perimeter is 6=4x+2y

and the area A=1/2xh + xy

the height of the triangle would be 3-y wouldn't it? because then i plugged that in for h, and then isolated for y in the perimeter equation and plugged in y where it was necessary but i didnt get the right answer in the end after i got the derivative