Answer:
Area = 140 square units
Explanations:
The deck is rectangular in shape because the opposite sides are equal
Area of a rectangle = Length x Width
The length is the distance separating the points (-8, 6) and (6, 6)
[tex]\begin{gathered} Length\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{Length = }\sqrt[]{(6-(-8))^2+(6-6)^2_{}} \\ \text{Length = }\sqrt[]{(6+8)^2} \\ \text{Length = 14 units} \end{gathered}[/tex]
The width is the distance separating the points (-8, 6) and (-8, -4)
[tex]\begin{gathered} \text{Width = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{Width = }\sqrt[]{(-8-(-8))^2+(-4-6)^2} \\ \text{Width = }\sqrt[]{0^2+(-10)^2} \\ \text{Width = }\sqrt[]{100} \\ \text{Width = 10 units} \end{gathered}[/tex]
Area = Length x Width
Area = 14 units x 10 units
Area = 140 square units
