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
Read more about area at:
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Consider the given equation is 
and one of the 6 in the options is -6.
Given:
The equation is
To find:
The value of x.
Solution:
We have,
Subtracting 3 from both sides, we get
Divide both sides by -2.
Therefore, the value of x is -6.
Answer:
The first step to solve the equation below is to first distribute the 2 to (x+7)
Step-by-step explanation:
2 (x+7) = -4x + 14
2x + 14 = -4x + 14
Answer:
Step-by-step explanation:
i do not know
