create three different drawings showing a number of rectangles and circles in which the ratio of rectangles to circles is 3:1.



Answer :

Just draw a simple picture of a house or a dog or a person or a building where you have only 3 rectangles and 1 circle, 6 rectangles and 2 circles, 9 and 3, etc. Do this three times and you should be set.

Let

x--------> the number of rectangles in the drawing

y--------> the number of circles in the drawing

r--------> ratio of rectangles to circles

we know that

[tex] r= \frac{x}{y} [/tex]

[tex] r= \frac{3}{1} [/tex]

Drawing N 1

see the attached figure N 1

we have

the number of rectangles is equal to [tex] 3 [/tex]

[tex] x=3 [/tex]

the number of circles is equal to [tex] 1 [/tex]

[tex] y=1 [/tex]

Find the ratio

[tex] r= \frac{3}{1} [/tex]

Drawing N 2

see the attached figure N 2

we have

the number of rectangles is equal to [tex] 6 [/tex]

[tex] x=6 [/tex]

the number of circles is equal to [tex] 2 [/tex]

[tex] y=2 [/tex]

Find the ratio

[tex] r= \frac{6}{2}=\frac{3}{1} [/tex]

Drawing N 3

see the attached figure N 3

we have

the number of rectangles is equal to [tex] 9 [/tex]

[tex] x=9 [/tex]

the number of circles is equal to [tex] 3 [/tex]

[tex] y=3 [/tex]

Find the ratio

[tex] r= \frac{9}{3}=\frac{3}{1} [/tex]

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