Question

A festivals being planned. The planners need to enclose to adjacent 200 M^2 areas with fencing. They have budgeted $1000 for fencing. Fencing currently cost $10/meter. The diagram of the area is as follows:

1. Write an equation representing the total length of fence, L, needed in terms of the dimensions, X and Y, of the fence.

2.right in equation representing the total area of the venue in terms of the dimensions.


3. Showing your work, state what is a planners can afford the fencing on their budget.

Answer 1

Assuming the area is square or rectangular: L=2x+2y
Area is given to be 200 so 200=x*y

The most efficient area is the a square with side lengths the square root of 200, 14.14 meters. This gives a total perimeter of 56.57 meters and a total cost of $565.87, which is within budget.

This is unrelated, but the largest area they could have with the budget is 625m^2.