Question

hello there! this is for my credit recovery class and i am timed so please give me the answer there is no need to for an explanation.

Answer 1

Given,

The coordinates of the point A, B , C , D , E and F.

`\begin{gathered} A=(-2,-2) \\ B=(0,-6) \\ C=(8,-2) \\ D=(8,3) \\ E=(6,7) \\ F=(6,2) \end{gathered}`

Required

The area of the figure.

The length of AB is,

`AB=√(4+16)=√(20)`

The length of BC is,

`BC=√(64+16)=√(80)`

The length of CD is 5 units.

The area of the figure is,

`\begin{gathered} Area\text{ =}√(20)*√(80)+5*2 \\ =√(1600)+10 \\ =50\text{ unit}^2 \end{gathered}`

Hence, the area of the figure is 50 square unit.