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

Mathematics

Franco

1 October, 10:41

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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Carolina Whitney · 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

Juliet Aguirre · Answer 2

I guess I just confirming but the answer is indeed A