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

Explanation:

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

`(h)/(w)=(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
`(3)/(4.5)` by
`(2)/(2)`:

`((3)/(4.5))((2)/(2))=(6)/(9)=0.66`

As we can see
`(6)/(9)` gives ues the same result as
`(3)/(4.5)`

Another example:

If we multiply
`(3)/(4.5)` by
`(5)/(5)`:

`((3)/(4.5))((5)/(5))=(15)/(22.5)=0.66`

As we can see
`(15)/(22.5)` gives ues the same result as
`(3)/(4.5)`