Wednesday

October 22, 2014

October 22, 2014

Posted by **Lisa** on Sunday, March 10, 2013 at 8:44pm.

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

- Maximum Area -
**Steve**, Sunday, March 10, 2013 at 8:53pmif the yard has dimensions x and y, and side x is parallel to the building, then the fencing used is

x+2y = 900

The area is

a = xy = (900-2y)*y = 900y - 2y^2

da/dy = 900 - 4y

da/dy=0 when y=900/4 = 225

so, x = 900-2y = 450

the yard is thus 450 by 225

- Maximum Area -
**Lisa**, Sunday, March 10, 2013 at 9:06pmI do not think I made it clear sir. The part where I was stuck was where 100 ft. of the building is covered by the side of the yard.

___________________

| yard |

| |

--------------------

} building {

------------

the building length is 100 feet

Sorry for any confusion this caused.

- Maximum Area -
**Lisa**, Sunday, March 10, 2013 at 9:08pmAs the text drawing did not come out clear I hope this may clarify what I meant.

imgur /F5NJVqp

- Maximum Area -
**Steve**, Monday, March 11, 2013 at 1:21amYou're right - you did not make it clear that the building was only 100 feet wide.

If the building on;y covers 100 feet of the side x, then

x+(x-100)+2y = 900

2x+2y=1000

x = 500-y

and follow the same steps above.

If I still have it wrong, then just draw yourself a diagram and label the various parts, making sure all the fence sections add up to 900. Then substitute for x or y in the formula a=xy.

**Answer this Question**

**Related Questions**

Maximum Area-Calculus-Edit - We have 900 ft of fencing and we want to construct ...

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

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'...

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

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 ...

HELP!!! Math - The area of a yard is 15000 ft^2. If the ratio of the lenght to ...