Tuesday

September 30, 2014

September 30, 2014

Posted by **Lisa** on Sunday, March 10, 2013 at 9:09pm.

I am not even sure how to start though I know I am supposed to calculate the derivative of the setup. Thank you

Here is the image. imgur F5NJVqp

- Maximum Area-Calculus-Edit -
**Damon**, Sunday, March 10, 2013 at 9:26pmperimeter = 2 W + L = 900

so

L = (900 - 2W)

A = W L

A = W (900 -2W)

A = 900 W - 2 W^2

now you can complete the square for the parabola and find the vertex or you can use calculus

dA/dW = 0 for max = 900 - 4 W

W = 225

900 = 2 W + L

900 = 450 + L

L = 450

glad you learned calculus and did not have to find the vertex of that parabola? :)

- Maximum Area-Calculus-Edit -
**Damon**, Sunday, March 10, 2013 at 9:37pmOh, although I can not see your image I see your note on your earlier question answered by Steve.

If only 100 feet of the building is used then

2 W + L + (L-100) = 900

2 W + 2 L - 100 = 900

2 W + 2 L = 1000

then continue as before

- Maximum Area-Calculus-Edit -
**Lisa**, Sunday, March 10, 2013 at 10:08pmTHANK YOU SO MUCH! I got 250 for each dimension :)

**Answer this Question**

**Related Questions**

Maximum Area - We have 900 ft of fencing and we want to construct a back yard. ...

math - Ms. Jacobs is planning to put a fence around a rectangular part of her ...

calculus help - Farmer Brown wants to fence in a rectangular plot in a large ...

5th grade math - suppose you are building a fence for a garden in your yard. ...

math - Susan's back yard is rectangular with dimensions 39 yd. by 71 yd. Carlos'...

math - Chris wants to make an enclosed rectangular area for a mulch pile. She ...

Math - John has 1/4 yard of fabric. He cuts it into 3 equal pieces . What ...

college algebra word problem - Here's the problem I was asked: You are visiting ...

math - There is a circular garden in the middle of a square yard. The radius of ...

calculus - I got half of this problem wrong and I DO NOT know where and how to ...