Question

A. Rectangles 2 and 4

B. Rectangles 3 and 4

C. Rectangles 1 and 3

D. Rectangles 2 and 1

Answer 1

Answer: C. Rectangles 1 and 3

Explanation:

1. By definition, two rectangles are similar if they have equal shape bot do not have equal sizes.

2. You can know it the rectangle 1 and 3 are similar by the following proportions:

`(l_1)/(l_3)=(w_1)/(w_3)`

Where
`l_1` is the lenght of the rectangle 1,
`l_2` is the lenght of the rectangle 2,
`w_1` is the width of the rectangle 1 and
`w_2` is the width of the rectangle 2.

3. Subtitute values:

`(11m)/(14m)=(2.2m)/(2.8m)`

`0.78=0.78`

4. Then, the rectangle 1 and 3 are similar.