A square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year. each diagonal of the square window measures 9 inches. what is the approximate total length of iron edging needed to create the square frame and the two diagonals? 43.5 inches 50.9 inches 54.0 inches 61.5 inches

Question

Marley

Mathematics

27 July, 04:53

A square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year. each diagonal of the square window measures 9 inches. what is the approximate total length of iron edging needed to create the square frame and the two diagonals? 43.5 inches 50.9 inches 54.0 inches 61.5 inches

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Answers (2)

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Litzy Robertson · Answer 1

Diagonal of the square (d):

d = a · √2 = a · 1.414 (a is a length of a side of the square)

a = 9 : 1.414 = 6.365 inches

Total length:

4 · a + 2 · d = 4 · 6.365 + 2 · 9 = 25.46 + 18 = 43.46 ≈ 43.5 inches.

Answer: A) 43.5

Ishaan Barr · Answer 2

I guess I just confirming but the answer is indeed A