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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You should find the slope using (y2 - y1) / (x2 - x1) = m
m = (18 - 0) / (10 - (-1))
m= 18 / 11
Therefore the slope is 18/11
Answer:
We can split this into ∛8 * ∛n⁹. ∛8 = 2 and ∛n⁹ = n³ so the answer is 2n³.
The inscribed angle is always half of the central angle.
So 60÷2=30
You just multiply the x value by 5
-2(5)=-10
-1(5)=-5
0(5)=0
3(5)=15
6(5)=30
9(5)=45
