what is the perimeter of square tuvw? write your answer as an integer o…
$25.6$ units
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
Solution Steps
-
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 -
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:
$$P = 4 \times \sqrt{41} \approx 4 \times 6.403$$ -
Final answer
$25.6$ units
Answer
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:
$$P = 4 \times \sqrt{41} \approx 4 \times 6.403$$
Answer
$25.6$ units
Question Image
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Subject
mathematics
Sub Subject
geometry
Education Level
high school
Difficulty
unspecified
Question Type
with chart, calculation
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-07T21:54:42
OCR Text
Show OCR extraction
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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