Question

A rectangle has a height to width ratio of 3:4.5 give two examples of dimensions for rectangles that could be a scaled versions of this rectangle

Answer 1

Answer: height=6, width=9 and height=15, width=22.5

Step-by-step explanation:

If the rectangle has a  height ($h$) to width ($w$) ratio of 3:4.5:

$\frac{h}{w}=\frac{3}{4.5}=0.66$

We can find other dimensions that fit this relation by multiplying the same number in the numerator as in the denominator.

For example:

If we multiply $\frac{3}{4.5}$ by $\frac{2}{2}$:

$(\frac{3}{4.5})(\frac{2}{2})=\frac{6}{9}=0.66$

As we can see $\frac{6}{9}$ gives ues the same result as $\frac{3}{4.5}$

Another example:

If we multiply $\frac{3}{4.5}$ by $\frac{5}{5}$:

$(\frac{3}{4.5})(\frac{5}{5})=\frac{15}{22.5}=0.66$

As we can see $\frac{15}{22.5}$ gives ues the same result as $\frac{3}{4.5}$