Question

Question #bacd4

Answer 1

`color(blue)(7:20)`

Explanation:

Imagine that they are rectangular posters and the first one has is 7in by 14 in.

Since they similar, use the ratio provided, 7:20, to find the dimensions of the second poster:
`7 * (20/7) = 20`in
`14 * (20/7) = 40`in
The second poster is 20in by 40in.

Now calculate the perimeters of both:
1) `7 + 7 + 14 + 14 = 42`in
2) `20 + 20 + 40 + 40 = 120`in

Finally, write as a ratio and simplify:
`42:120`
`color(blue)(7:20)`

While the ratio of the perimeters remains the same, the area ratio would change.