Question

I need help with this geometry problem. It’s for my study guide. I have a big test on Monday. Thank You!!!!!!!

Answer 1

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

`\text{Leg}^2+\text{AnotherLeg}^2=\text{Hypotenuse}^2`

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":

`\begin{gathered} p^2=10^2+24^2 \\ p^2=100+576 \\ p^2=676 \\ p=\sqrt[]{676} \\ p=26 \end{gathered}`

So, the perimeter of the diamond window is:

`4*26=104`

Thus, 104 inches of tape is required.

Answer104 inches