Given the dimension of the rectangle:
16 cm by 18 cm
We have the image of the rectangle below:
To find the length of the diagonal AC, use pythagorean theorem since ACD form a right triangle.
Thus, we have:
[tex]\begin{gathered} AC^2=AD^2+DC^2 \\ \\ AC=\sqrt[]{AD^2+DC^2} \end{gathered}[/tex]
Input values into the formula:
[tex]\begin{gathered} AC=\sqrt[]{18^2+16^2} \\ \\ AC=\sqrt[]{324+256} \\ \\ AC=\sqrt[]{580} \\ \\ AC=24.08\approx24.1\text{ cm} \end{gathered}[/tex]
Therefore, the length of the diagonal is 24.1 cm
ANSWER:
24.1 cm
