Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 centimeters. He will make the "X" by stretching the red ribbon diagonally from corner to corner. How many centimeters of ribbon will Peter need to make the "X"?

Question

Mathematics

Darian Roberson

26 August, 06:34

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 centimeters. He will make the "X" by stretching the red ribbon diagonally from corner to corner. How many centimeters of ribbon will Peter need to make the "X"?

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Answers (2)

Know the Answer?

Kamora Lynn · Answer 1

Answer is 34

Step-by-step explanation: Took the quiz and got it right.

Day · Answer 2

33.94 cms of ribbon

Step-by-step explanation:

Because you need two diagonals to form the x, therefore the amount of ribbon needed is the sum of the distance of both diagonals.

When crossing the diagonal, a rectangular angle is formed, where the diagonal would be the hypotenuse, we know that the distance of the hypotenuse can be calculated by means of the legs, which we know its value (12):

d ^ 2 = a ^ 2 + b ^ 2

a = b = 12

d ^ 2 = 12 ^ 2 + 12 ^ 2

d ^ 2 = 288

d = 288 ^ (1/2)

d = 16.97

16.97 cm is what it measures, a diagonal, therefore tape is needed:

16.97 * 2 = 33.94

A total of 33.94 cms of ribbon is needed