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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Answer:
f=110132.328974hti
Step-by-step explanation:
Answer:
-4x+y = -5
Step-by-step explanation:
Y+7=4(x-3)
Y+7=4x-12
+7. +7
Y=4x-5
-4x+y=-5
Answer:
K=13
Step-by-step explanation:
So first, we subtract 13 with 3/4 (That comes from 4 3/4) and we get 12 1/4.
And then, we subtract 12 1/4 with 4, and we get 8 1/4
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