Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2. a painting measures 15 cm long by 24 cm high. you buy two posters, e…

Question

  1. a painting measures 15 cm long by 24 cm high. you buy two posters, each showing an enlargement of the painting. the first poster measures 45 cm long by 72 cm high. the second poster measures 97.5 cm long by 156 cm high. which of the following is true? (hint: to be an accurate representation of the painting, would the the poster be similar to the painting?)

Explanation:

Step1: Calcular la proporción del primer poster

Para el primer poster:
Longitud: \(45\div15 = 3\)
Altura: \(72\div24 = 3\)
Como \(45\div15=72\div24 = 3\), el primer poster es una representación precisa (ya que las proporciones son iguales).

Step2: Calcular la proporción del segundo poster

Para el segundo poster:
Longitud: \(97.5\div15=6.5\)
Altura: \(156\div24 = 6.5\)
Como \(97.5\div15 = 156\div24=6.5\), el segundo poster también es una representación precisa (ya que las proporciones son iguales).

Answer:

Both posters are accurate representations of the painting.