A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
A rectangular picture frame with total area 50000 cm2 includes a border which is 1 cm thick at the top and the bottom and 5 cm thick at the left and right side. What is the largest possible area of a picture that can be displayed in this frame?
 one year ago
A rectangular picture frame with total area 50000 cm2 includes a border which is 1 cm thick at the top and the bottom and 5 cm thick at the left and right side. What is the largest possible area of a picture that can be displayed in this frame?

This Question is Closed

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1draw a picture dw:1371797342461:dw you know the area of the picture + frame is 5000 so \[5000 = l \times w\] make w the subject so \[w = \frac{l}{5000}\] and you know the area of the pictues is \[A_{p} = ( l  10)(w  2)\] substitute w \[A_{p} = (l  10)(\frac{l}{5000}  2)\] you now have an area equation in one unknown find the 1st derivative. set it to 0 and solve for l. this should given the necessary dimensions
Ask your own question
Ask a QuestionFind 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.