Answer:
Perimeter =
![16√(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/6ials2e17ustn08d3am20fqh0k64ur3vw2.png)
Area =
![80](https://img.qammunity.org/2023/formulas/mathematics/high-school/42zyf07tuy1ularnxkc5s1f0y0alfrqjvn.png)
Explanation:
To find the perimeter of the square, you can use the square perimeter formula,
, where
is equal to the length of one side:
![P=4a](https://img.qammunity.org/2023/formulas/mathematics/high-school/wolyzj7hxr8k230dln4bm73i2jjmwfvbom.png)
![P=4(4√(5))](https://img.qammunity.org/2023/formulas/mathematics/high-school/ioo35ln5zlnyov4kxzr6mpbodadf6aihx1.png)
![P=16√(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/5c499gz0h75cdel3y5tzlgvcuswcei2xky.png)
Then, to find the area of the square, you can use the square area formula,
, where
is equal to the length of one side:
![A=a^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/einvvahn0btfwzepa3lr25hf23bztexm1w.png)
![A=(4√(5))^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/59rf557xvxi6gegkzprrsmbhrinxxyhcu1.png)
![A=80](https://img.qammunity.org/2023/formulas/mathematics/high-school/vn0ti6vyx3eald9tkshssbu30fyyr14c2i.png)
Therefore, the perimeter of the square is
millimeters and the area of the square is
square millimeters.
I hope this helps!