Answer:
Option A
Step-by-step explanation:
Given that a square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year
Each diagonal = 9 inches
Using Pythagorean theorem for right triangle with two sides and one diagonal we get
[tex]9^2 = 2s^2\\s=\frac{9}{\sqrt{2} } =4.5(0.707)\\=6.363[/tex]
Iron rods needed for square with two diagonals
= perimeter of square + length of 2 diagonals
=4s+2d
=4(6.363)+2(9)
=43.452
Rounding off gives
43.5 inches Option A
The total length of iron edging needed to create the square frame and the two diagonals is 43.45
Represent the side length of the square with x.
The side length (x) is then calculated using the following Pythagoras theorem
[tex]x^2 = (9/2)^2 + (9/2)^2[/tex]
[tex]x^2 = 40.5[/tex]
Take the square root of both sides
[tex]x = 6.36[/tex]
The total length of iron edging needed to create the square frame and the two diagonals is then calculated as:
[tex]Length = 4 * 6.36 + 2 * 9[/tex]
[tex]Length = 43.44[/tex]
Hence, the total length of iron edging needed to create the square frame and the two diagonals is 43.45
Read more about approximate side lengths at:
https://brainly.com/question/2217700
