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

Question

asked Dec 26, 2023 201k views

1 Answer

Miskohut · Answer 1 · 2023-12-31T04:29:23+0000

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:

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