Question

MEDAL AND FAN

The rectangles shown are similar.

What is the value of x?



A.
9

B.
5

C.
6

D.
4

Answer 1

@AlexandervonHumboldt2 @iGreen

Answer 2

@mathmate

Answer 3

What is the ratio of the bottom side of the big rectangle to the bottom side of the little rectangle?

Answer 4

3? Idk

Answer 5

Fill in the blank
(big rectangle side) : (little rectangle side)

Answer 6

@robtobey

Answer 7

I don't know what to do to get that

Answer 8

The ratio is 9:3
This is because you are comparing the side of the large rectangle (9) to the similar side of the small rectangle (3). Does that make sense?

Answer 9

Yes

Answer 10

Good. Now we can make it like a fraction (9/3) and still compare the two sides. Can you simplify the fraction (9/3)?

Answer 11

3/1

Answer 12

Yes :) so the ratio of the large rectangle side to the small rectangle side is 3/1. And because we know the two rectangles are similar we now know that the ratio of the large rectangle to the small rectangle is 3/1. So the large rectangle is three times as big as the little rectangle. Does this make sense?

Answer 13

Yes @Falassalde

Answer 14

Good, so now that we know that the large rectangle is three times as big as the small rectangle we know that the side of the large rectangle side (15) will be three times as big as the small rectangle side (x). So now what do you need to do to solve for x?