Answer: 151
Step-by-step explanation:
if prior population proportion is unknown , then the formula is used to find the sample size :

, where
= Two tailed critical value for significance level of 
E = Margin of error.
Given : margin of error = 8%= .08
For 95% confidence level , two tailed critical value = 1.96
Now, the required sample size :

Hence, the size of the sample needed = 151.
The cube root 80 = cube root 8 * cube root 10 = 2 cube root 10
as a decimal this is 2*2.1544 = = 4.31 to nearest hundredth
Length = 4x
width = 7x
perimeter is 2length+2width= 352
2(4x)+2(7x) = 352
8x+14x =352
22x = 352
x = 16
then length = 4*16=64
width =7*16=112
Answer:

Step-by-step explanation:

You can confirm this by working and expanding backwards:

Hope this helps!
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