En la institución educativa Simón Bolívar los estudiantes del segundo grado desean representar en una cartulina a escala 1:10 , la pizarra de su aula de forma rectangular cuyas medidas son 3m de base y 2m de altura.
¿CUALES SERÁN LAS MEDIDAS QUE TENDRÁ LA GRÁFICA QUE REPRESENTARON EN LA CARTULINA?

Respuesta :

The question in English

At the Simón Bolívar educational institution, students in the second grade wish to represent on a 1:10 scale cardboard the rectangular-shaped blackboard of their classroom, which measures 3m base and 2m height.  

WHAT WILL BE THE MEASUREMENTS OF THE GRAPH THEY REPRESENTED ON THE CARDBOARD?

Answer:

[tex]30\ cm*20\ cm[/tex]

Step-by-step explanation:

we know that

The scale is equal to [tex]1:10[/tex]

That means

[tex]1[/tex] unit on the cardboard is equal to [tex]10[/tex] units on the actual

Find the measurement of the base on the cardboard

by proportion

[tex]\frac{1}{10}\frac{cardboard}{actual} =\frac{x}{3}\frac{cardboard}{actual} \\ \\x=3/10\\ \\ x=0.30\ m[/tex]

Find the measurement of the height on the cardboard

by proportion

[tex]\frac{1}{10}\frac{cardboard}{actual} =\frac{x}{2}\frac{cardboard}{actual} \\ \\x=2/10\\ \\ x=0.20\ m[/tex]

The measurements of the graph are

[tex]30\ cm*20\ cm[/tex]

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