Question

The rectangles shown are similar.

What is the value of x?



A.
4

B.
6

C.
5

D.
9

Answer 1

Where are the rectangles?

Answer 2

http://static.k12.com/calms_media/media/1299500_1300000/1299528/1/dbae0fd6520703d4b5543607dc5ff4f619e2e83f/141104.jpg

Answer 3

use the property of similar figures
- the corresponding sides are in the same proportion

Answer 4

Set up a proportion:

\(\dfrac{3}{9} = \dfrac{x}{15}\)

Cross multiply, can you do that? @Faith&Compassionate

Answer 5

i think it's 4 or 5?

Answer 6

@iGreen.

Answer 7

@iGreen.

Answer 8

@iGreen.

Answer 9

Sorry, multiply:

9 * x

3 * 15

Answer 10

it's okay @iGreen.

Answer 11

so it's not 4 or 5? :(

Answer 12

@iGreen.

Answer 13

Um, yes, it's one of them..just multiply 3 * 15.

Answer 14

45

Answer 15

Yes, now we have:

9x = 45

Now we divide 9 to both sides, what's 45 / 9?

Answer 16

5

Answer 17

Yes, that is our answer.