Answer:
![6\ cm](https://tex.z-dn.net/?f=6%5C%20cm)
Step-by-step explanation:
First Rectangle:
![length(l_1)=24\ cm\\\\Width(b_1)=9\ cm](https://tex.z-dn.net/?f=length%28l_1%29%3D24%5C%20cm%5C%5C%5C%5CWidth%28b_1%29%3D9%5C%20cm)
Second Rectangle:
![length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm](https://tex.z-dn.net/?f=length%28l_2%29%3D16%5C%20cm%5C%5C%5C%5CLet%5C%20Width%3Db_2%5C%20cm)
![Since\ these\ two\ rectangles\ are\ similar\\\\\frac{l_2}{l_1}=\frac{b_2}{b_1}\\\\\frac{16}{24}=\frac{b_2}{9}\\\\16\times 9=24\times b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=\frac{16\times 9}{24}\\\\b_2=6\ cm](https://tex.z-dn.net/?f=Since%5C%20these%5C%20two%5C%20rectangles%5C%20are%5C%20similar%5C%5C%5C%5C%5Cfrac%7Bl_2%7D%7Bl_1%7D%3D%5Cfrac%7Bb_2%7D%7Bb_1%7D%5C%5C%5C%5C%5Cfrac%7B16%7D%7B24%7D%3D%5Cfrac%7Bb_2%7D%7B9%7D%5C%5C%5C%5C16%5Ctimes%209%3D24%5Ctimes%20b_2%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20cross%5C%20multiplication%5C%5C%5C%5Cb_2%3D%5Cfrac%7B16%5Ctimes%209%7D%7B24%7D%5C%5C%5C%5Cb_2%3D6%5C%20cm)
Answer:
-9 may be the right answer
Answer:
21
Step-by-step explanation:
BDE and BAC are similar figures
BD/BA = BE/BC
18/(18+36) = a/(a+42)
18/54 = a/(a+42)
1/3 = a/(a+42)
a+42 = 3a
42 = 2a
a = 42/2
a = 21
-20.01
-20.02
-20.03
and so on
all the way to 20.99