Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
bazinga276
Group Title
The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions of the triangle and square that produce a minimum area.
I would like to solve it by incorporating A=(sqrt(3)x^2)/4 (area of an equilateral triangle)
 2 years ago
 2 years ago
bazinga276 Group Title
The sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions of the triangle and square that produce a minimum area. I would like to solve it by incorporating A=(sqrt(3)x^2)/4 (area of an equilateral triangle)
 2 years ago
 2 years ago

This Question is Closed

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
put the side of the triangle as \(x\) and the side of the square is \(y\) then \[3x+4y=10\] solve for \(y\) get \[y=\frac{103x}{4}\]
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
total area is therefore what you said triangle area is \(A(x)=\frac{\sqrt{3}x^2}{4}+(\frac{103x}{4})^2\)
 2 years ago

bazinga276 Group TitleBest ResponseYou've already chosen the best response.0
After taking the derivative of that, I get \[A'=\frac{ 4\sqrt{3}x+9x30 }{ 8 }\] Am I on the right path?
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.