Respuesta :
We have been given that a rectangle has a height to width ratio of 3:4.5.
Let h be height and w be width of rectangle.
We can set our given information in an equation as:
[tex]\frac{h}{w} =\frac{3}{4.5}[/tex]
[tex]h=\frac{3}{4.5} *w[/tex]
Now we will substitute h=1 in this equation.
[tex]1=\frac{3}{4.5} *w[/tex]
[tex]3w=4.5[/tex]
[tex]w=\frac{4.5}{3} =1.5[/tex]
We can see that width of rectangle is 1.5 times height of rectangle.
Our one set of dimensions of rectangle will be: height=1 and width=1.5.
We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.
Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.
Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.
Two examples of dimesions for rectangles that could be scaled versions of this rectangle are (2,3) and (4,6).
Rectangle has a height and width.
[tex]\dfrac{height}{width}=\dfrac{3}{4.5}\\\\\dfrac{height}{width}=\dfrac{30}{45}\\\\\dfrac{height}{width}=\dfrac{2}{3}[/tex]
[tex]height = 2x\\width=3x[/tex]
Now let [tex]x=1[/tex]
So dimensions of height and width is [tex]2\times1 \; and\; 3\times1[/tex]
So it is [tex](2,3)[/tex]
Now let [tex]x=2[/tex]
So dimensions of height and width is [tex]2\times2 \; and\; 3\times2[/tex]
So it is [tex](4,6)[/tex]
Hence many dimesions of rectangles are possible.
Learn more about rectangle here;
https://brainly.com/app/ask?q=rectangle+
