Let x and y be the sides of the rectangular corral. Therefore,
Area, A = x*y = xy

Additionally, let the side bordering the barn be x. Then,
Circumference, C = x+y+y = x+2y = 4000 ft => x = 4000 - 2y

Substituting for x in the area equation,

A = (4000-2y)y = 4000y - 2y^2

For maximum area, dA/dy = 0

Then,
dA/dy = 4000 - 4y = 0 => 4000 = 4y => y = 4000/4 = 1000 ft

And x = 4000 - 2y = 4000 - 2*1000 = 4000 - 2000 = 2000 ft

The dimensions of the corral are: 2000 ft by 1000 ft.

Area, A = xy = 2000*1000 = 2000,000 ft^2

3 0

3 years ago

Jake has 2.3 miles squared of farmland behind the bakery. He planted tomatoes on 0.3 of his land. On how many square miles did h

viktelen [127]

To solve, multiply the total land by the portion he planted tomatoes on.

2.3mi²*0.3=0.69mi²

Answer=.69mi²

6 0

3 years ago

Lowest common factor between 7 and 11​

Lowest common factor between 7 and 11