The perimeter of a rectangular pool = 2l + 2w
If the width is 5m longer than the length,
Then Perimeter = 2(l + 5) + 2l
= 4l + 10 {THE EQUATION}
Since Perimeter = 58 m
Then 4l + 10 = 58 m
⇒ l = 12 m
Thus the Length of the Pool = 12 m
When you times the base and height you get this answer so divide it by two to get the answer D :)
764 is the answer in standard forn
Let
S = sum of the data values
n = number of data values
The mean M is equal to
M = S/n
since you add up the values and divide by n. We don't need to know what S or n are.
If we add 5 to each data value, then we're adding on n copies of 5, or 5n
The new mean N is
N = (S+5n)/(n)
N = (S/n) + (5n/n)
N = M + 5
The new mean is a result of taking the old mean M and adding on 5
So,
N = M+5
N = 10+5
N = 15
The standard deviation will remain the same because each data value hasn't moved in relation to one another. Every data value has been shifted up the same amount. For instance if A and B are two points in this data set, then A+5 and B+5 will be the same distance away. Apply this logic to any number of data values. While standard deviation isn't that simple, it still has a loose connection to "distance" of the values, or how spread out they are.
So that's why the final answer is choice C)
