Question

Question 4 Objective: Apply properties of squares to solve mathematical and real-world problems. The perimeter of a square is 116 cm. What is the approximate length of its diagonal?

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Answer 1

41.01 cm

Explanation:

Answer 2

41.0 cm

Explanation:

The side length is 1/4 the length of the perimeter.

s = P/4

The diagonal length is √2 times the side length.

d = s·√2

Then the diagonal is ...

d = (P/4)√2 = (116 cm)(√2)/4 ≈ 41.01 cm

The diagonal is about 41.0 cm long.