Question

Instead of building the enclosure of maximum area, the company wishes to build only a 20,000 square foot enclosure still using up all the fencing and situated with one side on the river. Find the dimensions of the enclosure that will satisfy these requirements by doing the following: 14. What equation can be solved to find the possible widths

Answer 1

x = 80000/L f

Explanation:

When using only three sides for fencing a rectangular area, sides will be

"x " and "y " x = 2*y x is the largest side of the rectangular area

we only fence one y side ( the other side is a river

So the perimeter is L = x + 2*y or L = 4*y

On the other hand if now the area will be 20000 f²

A = x*y = 20000 ⇒ y = 20000/ x

As the fence material is the same as that of the maximum area

L = 4*y L = 4* 20000 / x

L*x = 80000

Then x = 80000/L

Where L is the quantity of fencing material