Thursday

August 21, 2014

August 21, 2014

Posted by **Anne** on Monday, May 6, 2013 at 8:53pm.

A) What dimensions will give the maximum area?

B) What is the maximum area?

- Math, Gr 10 -
**Reiny**, Monday, May 6, 2013 at 10:09pmlet the single side by y

let the two other sides be x each

so 2x+y = 800

y = 800-2x

area = xy

= x(800-2x)

= -2x^2 + 800x

Since you rated this grade 10 , I will assume you don't have Calculus, so let's complete the square

area = -2(x^2 - 400x <>+40000-40000)

= -2( (x-200)^2 - 40000)

= -2(x-200)^2 + 80000

the max area is 80,000 m^2 and is obtained when

x = 200 m, which makes y = 800-2(200) = 400 m

**Related Questions**

math - a rectangular garden with an area of 2112 square feet is to be located ...

math - A farmer plans to enclose a rectangular region, using part of his barn ...

Math - The owner of the Rancho Grande has 3028 yd of fencing with which to ...

Math - The owner of the Rancho Grande has 3028 yd of fencing with which to ...

Math - A farmer has 80 feet of fencing, which she plans to use to fence in a ...

math - Farmer Hodges has 50 feet of fencing to make a rectangular hog pen ...

Calculus - A farmer has 120 meters of wire fencing to make enclosures for his ...

Algebra - SOlve you have 78 feet of fencing to enclose a rectangular pasture by ...

Math - A farmer decides to enclose a rectangular garden, using the side of a ...

word problem - a farmer has 800 yards of fencing to enclose a rectangular ...