Answer:
ADB and ABC are similar
x = 8
Step-by-step explanation:
hypotenuse in ADB = 
since two triangles are similar,

solving for x, x=8
Formula for Perimeter of Rectangle:
P = 2(L + W)
Plug in 160:
160 = 2(L + W)
L = 4W
<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)
160 = 2(4W + W)
Combine like terms:
160 = 2(5W)
160 = 10W
Divide 10 to both sides:
W = 16
Now we can plug this back into any of the two equations to find the length.
L = 4W
L = 4(16)
L = 64
So the width is 16, and the length is 64.</span>
Answer:
The correct answer is 64 times Geri’s original answer
Step-by-step explanation:
Given
Gari's Answer: 2³
Correct Answer: 2⁹
Required:
Relationship between both answers
Let Gari's answer be represented by G and the Correct answer be represented by C; Such that
G = 2³
C = 2⁹
Divide C by G

From law of indices, 
Applying this law, we have




Multiply both sides by G


Hence, we can conclude that the correct answer is 64 times Geri’s original answer