Question

Kevin has a rectangular farm mapped on a coordinate plane.He wants to make a fence along one of the longer sides of the farm. What would be the length of the fence?

Answer 1

The first thing is to find the length of each side of the rectangle

note that the length of the opposite side are equal

`\begin{gathered} |AB|=|DC| \\ |AD|=|BC| \end{gathered}`

|AB| is the horizontal line which falls in the coordinate of x

where

`\begin{gathered} x_1=-2\text{ for A} \\ x_2=8\text{ for B} \end{gathered}`

Then the length of the |AB| is

`|8-(-2)|=|8+2|=10`

|AD| is the vertical line that falls on the coordinate of y

where

`\begin{gathered} y_1=-6\text{ for point D} \\ y_2=2\text{ for point A} \end{gathered}`

Then the length of the line |AD| is

`|-6-2|=|-8|=8`

We can see that the longest side is side is |AB| which is 10

Therefore the fence will be 10 units long

The last option is correct(D)