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Write the Word or Phrase That Best Completes Each Statement 7272 ^ { \circ }

Question 85

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Write the word or phrase that best completes each statement or answers the question.
-Penrose tiles are formed from a rhombus WXYZ with sides of length 1 and interior angles 7272 ^ { \circ } and 108108 ^ { \circ } . (Refer to the illustration.) AA point OO is chosen on the diagonal 1 unit from YY . Line segments OXO X and OZO Z are drawn to the o vertices. The two resulting tiles are called a kite (figure OXYZ\mathrm { OXYZ } ) and a dart (figure OXWZ\mathrm { OXWZ } ). Find the area of the kit and the dart tile, correct to the nearest 0.010.01 .
 Write the word or phrase that best completes each statement or answers the question. -Penrose tiles are formed from a rhombus WXYZ with sides of length 1 and interior angles  72 ^ { \circ }  and  108 ^ { \circ } . (Refer to the illustration.)  A  point  O  is chosen on the diagonal 1 unit from  Y . Line segments  O X  and  O Z  are drawn to the o vertices. The two resulting tiles are called a kite (figure  \mathrm { OXYZ }  ) and a dart (figure  \mathrm { OXWZ }  ). Find the area of the kit and the dart tile, correct to the nearest  0.01 .

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