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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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Question 4 Objective Apply Properties Of Squares To Solve Mathematical And Realworld Problems The Perimeter Of A Square Is 116 Cm What Is The Approximate Length class=

Sagot :

Answer:

41.01 cm

Step-by-step explanation:

Answer:

  41.0 cm

Step-by-step 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.