Question

A Larger SquareХIn the square figure, what are the following measures?Remember, no decimals! Express your answers assquare-roots, if applicable...QuestionAnswerResultSide LengthVOХAreaхPerimeterХCheck Your Answers.

Answer 1

Let:

`\begin{gathered} (x1,y1)=(0,0) \\ (x2,y2)=(1,3) \end{gathered}`

Let's use the distance formula:

`\begin{gathered} d=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ d=\sqrt[]{(3-0)^2+(1-0)^2} \\ d=\sqrt[]{9+1} \\ d=\sqrt[]{10} \end{gathered}`

Therefore the side length is:

`s=\sqrt[]{10}`

The area is given by:

`A=s^2=(\sqrt[]{10})^2=10`

And the perimeter is the sum of all sides, so:

`P=\sqrt[]{10}+\sqrt[]{10}+\sqrt[]{10}+\sqrt[]{10}=4\sqrt[]{10}`