A community for students.
Here's the question you clicked on:
 0 viewing
dmqrdh18
 3 years ago
Find the maximum area for a rectangle with the given perimeter 76 inches
dmqrdh18
 3 years ago
Find the maximum area for a rectangle with the given perimeter 76 inches

This Question is Closed

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0Ok so what is the formula for perimeter of a rectangle?

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0Or give me the equation for the perimeter of that rectangle.

dmqrdh18
 3 years ago
Best ResponseYou've already chosen the best response.1The only number I have to work with is the perimeter of 76 inches

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0Now what is the area of the rectangle I drew. Or what is the formula for the area of a rectangle.

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0You know the area of a rectangle is Length * Height right?

dmqrdh18
 3 years ago
Best ResponseYou've already chosen the best response.1Yes the length x width

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0So here my rectangle has length=y and height=x right So the area of the rectangle is?

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0Do you know the calculus way or the algebra was to maximize the area?

dmqrdh18
 3 years ago
Best ResponseYou've already chosen the best response.1Would I take 76 divided by 4 ?

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0Can you do the shortcut way? Is that allowed?

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0Do you know why it works? Are you taking calculus or algebra? And yes if you have a=2l+2w and you want to maximize A then to find where you have maximum area you do a/4=w=l. But you haven't found the max area. You just found at what w and l you have max area. You told me area is length times width Just plug those values in for w and l and magic! you will have the answer.

dmqrdh18
 3 years ago
Best ResponseYou've already chosen the best response.1So it would be 19 for each side and times that by 2= 361

freckles
 3 years ago
Best ResponseYou've already chosen the best response.0well you mean 19(19)=361 and yes that is correct great job! :)
Ask your own question
Sign UpFind more explanations on OpenStudy
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.