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`

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

`(1)/(10)(cardboard)/(actual) =(x)/(3)(cardboard)/(actual) \\ \\x=3/10\\ \\ x=0.30\ m`

Find the measurement of the height on the cardboard

by proportion

`(1)/(10)(cardboard)/(actual) =(x)/(2)(cardboard)/(actual) \\ \\x=2/10\\ \\ x=0.20\ m`

The measurements of the graph are

`30\ cm*20\ cm`