Question

Rewrite the area formula with the info given from the problem then find the value of x , then how many feet of fencing should me Korber buy ?

Answer 1

Since the triangle is a right isosceles triangle and each leg measures x, its area is given by:

$A=\frac{1}{2}x^2$

Now, let's use the given area and solve it for x:

$\begin{gathered} 4232=\frac{1}{2}x^2\\ \\ x^2=8464\\ \\ x=92\text{ ft} \end{gathered}$

Since the "path" already has fence, the amount of fence needed is 2x:

$2x=2\cdot92=184\text{ ft}$