Answer:
18 Square units
Step-by-step explanation:
1. according to the condigion the base is AB, the height is CD, then the formula is:
Area=0.5*AB*CD, where AB - the length of AB, CD - the length of CD.
2. the lengths are:
[tex]|AB|=\sqrt{(-1--7)^2+(5--1)^2}=\sqrt{6^2+6^2}=\sqrt{72};\\|CD|=\sqrt{(-3-0)^2+(3-0)^2}=\sqrt{3^2+3^2}=\sqrt{18};[/tex]
3. finally, after substitution the values of AB and CD into the formula above:
[tex]Area=0.5*\sqrt{72} *\sqrt{18}=0.5*36=18 \ [units^2].[/tex]
Correct answer is '18 Square units'.
