Question

The rectangles shown are similar.

What is the value of x?

https://static.k12.com/calms_media/media/243500_244000/243533/1/3be7e613ac66660a67be3e9a9e20ed9211587f82/VHS_PA_S2_01_L216_L316_Q6.gif

A.
10

B.
8

C.
54

D.
6

Answer 1

Understand what "similar" means in "similar rectangles?"

Answer 2

ya

Answer 3

b right

Answer 4

nope its c

Answer 5

12/3=4
18/3=6<---

Answer 6

Please let's not talk in terms of "it's b" or "it's c." Instead, let's focus on HOW you calculate the length of the unknown side; please show all work done.

Answer 7

write the proportionality of similar sides so

12 18
--- = --- than cross multiplie and get
4 x

12x=18*4 divide both sides by 4

3x = 18 so try solve it for x

hope these will help you sure easy

Answer 8

Write a ratio of the lengths of the bottom sides; One such ratio would be \[\frac{ x }{ 18 }.\] this is (smaller) / (larger).

Answer 9

Making use of the fact that these 2 rect. are similar, write a similar (smaller) / larger ratio and equate it to the previous ratio. Sove the resulting equation for x and you'll be done.

Answer 10

4*3= 12
18*3 = 54
C is the answer

Answer 11

the direction is important