A rancher has 4300 ft of fencing available to enclose a rectangular area bordering a river. He wants to seperate his cows and horses by dividing the enclosure into 2 equal areas. If no fencing is required along the river, find the length of the center portion that will yield that maximum area.

Rigoberto Drake

Rigoberto Drake

Answered question

2022-11-20

A rancher has 4300 ft of fencing available to enclose a rectangular area bordering a river. He wants to seperate his cows and horses by dividing the enclosure into 2 equal areas. If no fencing is required along the river, find the length of the center portion that will yield that maximum area.

Answer & Explanation

Kailee Abbott

Kailee Abbott

Beginner2022-11-21Added 14 answers

Solved;
Let the one dimension as x and the other as 4300-3x
So we can write a formula for the area;
f ( x ) = x ( 4300 3 x ) f ( x ) = 4300 x 3 x 2
Now set this to zero and solce for x.
0 = 4300 3 x 2 3 x 2 = 4300 x 3 x = 4300 x = 1433.33

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?