Saturday

April 19, 2014

April 19, 2014

Posted by **Mark** on Saturday, January 3, 2009 at 7:38pm.

Mr Harrison has a very large backyard. He contacted the Clover Pool Company to have a pool installed in the shape of a rectangle. The Clover Pool Company would build a pool that has a perimeter of 72 yards. Mr. Harrison would be allowed to choose the dimensions (length and width) of the pool.He chose the dimensions that would give him a greatest area possible. What are the dimensions of the pool that would give Mr. the greatest area?

- math -
**drwls**, Saturday, January 3, 2009 at 7:49pmIf L is the length and W is the width,

2(L+W) = 72

L+W = 36

W = 36 -L

Area = L(36 -L)= 36L- L^2

Set dA/dL = 0 = 0 and solve for L, if you know calculus. If you don't, rewrite the above equation as

Area = 18^2 - (L-18)^2

This is a maximum when the (L-18) term is zero, so L = 18.

- math -
**Mark**, Saturday, January 3, 2009 at 8:01pmthanks dude you rock

**Related Questions**

math - Mr. Harrison has a very large backyard. He contacted the Clover Pool ...

math - Im doing my homework and it provides barely any info. here is the ...

Math - A family put a swimming pool in their backyard the rectangular backyard ...

English - Could I get some revising hints on the following homework - writing an...

pH calculations - A backyard pool as a pH of 7.4. At this level, the ...

Ignore previous one(this is latest) - Fix my recommendation letter...

math - mr. ming may swim the perimeter of Pool A or Pool B. In which pool must ...

Algebra 2 - Tom has a backyard that is 100ft. by 60 ft. He plans to install a ...

geometry - Jim is in the process of having a hole dug for a trapezoid shaped ...

math - mr. ming may swim the perimeter of Pool A or Pool B. In which pool must ...