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题目

解题步骤

1. Understand the question

   what is the perimeter of square tuvw?
   write your answer as an integer or as a decimal rounded to the nearest tenth.
   perimeter = \\boxed{} units

2. Explanation

   Step1: Identificar coordenadas de un lado

   Tomamos los puntos $U(3,1)$ y $T(8,5)$.

   Step2: Calcular longitud del lado

   Usar fórmula de distancia:
   $$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$$
   $$d = \sqrt{(8-3)^2 + (5-1)^2} = \sqrt{5^2 + 4^2} = \sqrt{25+16} = \sqrt{41} \approx 6.403$$

   Step3: Calcular perímetro del cuadrado

   El perímetro es 4 veces la longitud de un lado:
   $$P = 4 \times \sqrt{41} \approx 4 \times 6.403$$

3. Final answer

   $25.6$ units

答案

Question Analysis

OCR Text

what is the perimeter of square tuvw?
write your answer as an integer or as a decimal rounded to the nearest tenth.
perimeter = \\boxed{} units

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