We need to find the length of each side (4 sides) of the diamond shaped window.
We will use the Pythagorean Theorem to find each side.
First, let's label each side:
Now, we make each side, the hypotenuse of a right triangle. This is shown below, along with the side lengths of the triangles:
We know, Pythagorean Theoream tells us
[tex]\text{Leg}^2+\text{AnotherLeg}^2=\text{Hypotenuse}^2[/tex]
All the four triangles are congruent, so let's find the hypotenuse of one of those triangles and then we can multiply it by "4".
Let's find "p":
[tex]\begin{gathered} p^2=10^2+24^2 \\ p^2=100+576 \\ p^2=676 \\ p=\sqrt[]{676} \\ p=26 \end{gathered}[/tex]
So, the perimeter of the diamond window is:
[tex]4\times26=104[/tex]
Thus, 104 inches of tape is required.
Answer104 inches
