Question

Two paintings have rectangular frames which are similar. One frame is 3 feet wide and 6 feet long. What could be the dimensions of the other frame? A. 6 feet wide and 18 feet long B. 1.5 feet wide and 4.5 feet long C. 2 feet wide and 4 feet long D. 7 feet wide and 10 feet long

Answer 1

Similar shapes are enlargements of each other using a scale factor.

Given that the two rectangular frames are similar, where one frame is 3 feet wide and 6 feet long.

This implies that

`(l_1)/(l_2)=(w_1)/(w_2)=k`

Thus, we have the dimension of the other frame to be:

`2\text{ feet wide and 4 feet long}`

The correct option is C