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]