The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>
The given parameter is
Perimeter, P = 520 feet
Represent the shorter side with x and the longer side with y
One side of the garden is bordered by a river:
So the perimeter is:
P = 2x + y
Substitute P = 520
2x + y = 520
Make y the subject
y = 520 - 2x
The area is
A = xy
Substitute y = 520 - 2x in A = xy
A = x(520 - 2x)
Expand
A = 520x - 2x^2
Differentiate
A' = 520 - 4x
Set to 0
520 - 4x = 0
Rewrite as:
4x= 520
Divide by 4
x= 130
Substitute x= 130 in y = 520 - 2x
y = 520 - 2 *130
Evaluate
y = 260
The area is then calculated as:
A = xy
This gives
A = 130 * 260
Evaluate
A = 33800
Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
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Answer:
the first one
Step-by-step explanation:
the others don't make any sense and also the first one's the only one that's in inequality form.
Unknown = x
the quotient of x and 12 is x/12 than 49 more than that is 53,
(x/12)+49=53, now use basic math and solve
-49 from both side,
x/12=4
*12 to both side,
x=48
therefore the unknown number is 48
1 foot = 12 inches, so now you add 3 inches until you get 12. you add 3, 4 times toget 12. 3+3=6+3=9+3=12 and do that again for the 2nd foot 3+3=6+3=9+3=12 you added 3, 4 times to get 12 twice so now add 4+4=8
YOUR ANSWER IS 8
I'm not good at math but I think is 3f because you'll be multiplying f(unknown #) by 3 so f(x) would be 3f