Question

2) The two rectangles shown are similar.

24 cm
9 cm
16 cm
What is the missing measurement?
Fx = 3 cm
G
x = 6 cm
H
x = 18 cm
J
x = 32 cm​

Answer 1

`6\ cm`

Explanation:

First Rectangle:

`length(l_1)=24\ cm\\\\Width(b_1)=9\ cm`

Second Rectangle:

`length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm`

`Since\ these\ two\ rectangles\ are\ similar\\\\(l_2)/(l_1)=(b_2)/(b_1)\\\\(16)/(24)=(b_2)/(9)\\\\16* 9=24* b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=(16* 9)/(24)\\\\b_2=6\ cm`