Answer:
7.2 units
Step-by-step explanation:
The diagonal of the rectangle and the length and the width of the rectangle form right triangle in which diagonal is the hypotenyse.
By the Pythagorean theorem,
[tex]\text{Hypotenuse}^2=\text{Leg}_1^2+\text{Leg}^2_2[/tex]
for this right triangle you get
[tex]\text{Diagonale}^2=\text{Length}_1^2+\text{Width}^2_2[/tex]
Since
[tex]\text{Length}=6\ units\\ \\\text{Width}=4\ units,[/tex]
then
[tex]\text{Diagonale}^2=6^2+4^2\\ \\\text{Diagonale}^2=36+16\\ \\\text{Diagonale}^2=52\\ \\\text{Diagonal}=\sqrt{52}=2\sqrt{13}\approx 7.2\ units[/tex]
