Question

Rectangle R measures 18 in by 6 in. Rectangle S is a scaled copy of Rectangle R. Select all of themeasurement pairs that could be the dimensions of Rectangle S.24 in by 8 in9 in by 3 in2 in by 1 in6 in by 2 in3 in by 2 in

Answer 1

In order to find possible dimensions for the scaled rectangle, the proportion between the dimensions of the rectangles must be the same.

So first let's find this proportion for rectangle R:

`(18)/(6)=3`

Now, let's find the proportion of the possible options of rectangle S:

`\begin{gathered} (24)/(8)=3 \\ \\ (9)/(3)=3 \\ \\ (2)/(1)=2 \\ \\ (6)/(2)=3 \\ \\ (3)/(2)=1.5 \end{gathered}`

So the correct options are the first, second and fourth options.