Question

A rectangular picture has dimensions 2½ by 1½. It is to be enlarged so that it is still similar to the original rectangle. If the longer dimension is now 10, what is the perimeter of the enlarged rectangle?

Perimeter of enlarged rectangle:

Answer 1

please help! :)

Answer 2

\(\Large \color{purple}{\rightarrow 2.5:1.5::10:x }\)

\(\Large \color{purple}{\rightarrow 2.5x = 15 }\)

\(\Large \color{purple}{\rightarrow x = 6 }\)

The length is 10 and the breadth is 6.

\(\Large \color{purple}{\rightarrow Perimeter(Rectangle) = 2(l + b) }\)

\(\Large \color{purple}{\rightarrow Perimeter(Rectangle) = 2(16) }\)

\(\Large \color{purple}{\rightarrow Perimeter = 32 units }\)

Answer 3

Thank you!!

Answer 4

I used proportions to solve the problem. This is an easy way, right?

Answer 5

right

Answer 6

Can I have a medal?