Question

part A: if McDonald's wanted to fence in the square where pasture and Barbed wire fencing cost a $1.50 per foot, then determine the cost to fence in the pasture.Part b: if MacDonald wants to cover the square pasture and fertilizer and then he needs to determine the area of the pasture. What is the area of the pasture in the nearest hundredth?

Answer 1

A) To fence the squere, we have to calculate the perimeter of the figure so first we have to calculate the side of the square, so we can use the trigonometric identity of sin so:

`\sin (45)=(x)/(750)`

and we solve for x so:

`\begin{gathered} x=750\sin (45) \\ x=530.33 \end{gathered}`

Now the perimeter will be:

`\begin{gathered} P=530.33\cdot4+750 \\ P=2871.32 \end{gathered}`

Now the cost will be the perimeter times the cost per foot so:

`\begin{gathered} C=2871.32\cdot1.50 \\ C=4306.98 \end{gathered}`

B) The are of the pasture will be the addition of the area of the squate plus the area of the triangle so:

`\begin{gathered} A=A_t+A_s \\ A=(530.33\cdot530.33)/(2)+530.33\cdot530.33 \\ A=530.33+1060.66 \\ A=1590.99 \end{gathered}`