Question

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?

Answer 1

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:

$30\ cm*20\ cm$

Step-by-step explanation:

we know that

The scale is equal to $1:10$

That means

$1$ unit on the cardboard is equal to $10$ units on the actual

Find the measurement of the base on the cardboard

by proportion

$\frac{1}{10}\frac{cardboard}{actual} =\frac{x}{3}\frac{cardboard}{actual} \\ \\x=3/10\\ \\ x=0.30\ m$

Find the measurement of the height on the cardboard

by proportion

$\frac{1}{10}\frac{cardboard}{actual} =\frac{x}{2}\frac{cardboard}{actual} \\ \\x=2/10\\ \\ x=0.20\ m$

The measurements of the graph are

$30\ cm*20\ cm$