- #1

joemama69

- 399

- 0

## Homework Statement

Note the picture

## Homework Equations

## The Attempt at a Solution

A of both trianles = xsinQ[tex]\sqrt{x^2 - x^2(sinQ})^2[/tex]

A of rectangle = (w-2x)(xsinQ)

Total A = (w-2x)(xsinQ) + xsinQ[tex]\sqrt{x^2 - x^2(sinQ)^2}[/tex]

A = wxsinQ + 2x

^{2}sinQ + x

^{2}sinQcosQ

A

_{x}= wsinQ + 4xsinQ + 2xsinQcosQ = 0

-wsinQ = x(4sinQ + 2sinQcosQ)

x = -w/(4 + 2cosQ)

A

_{Q}= wxcosQ + 2x

^{2}cosQ + x

^{2}(sinQ)

^{2}- x

^{2}(cosQ)

^{2}= 0

It gets pretty messy when i plug in x, are there anny errors so far