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:
Такое тёплое место, но там, на улице,
Где ждут отпечатков наших ног,
Там сапоги сияют звёздной пылью.
Здесь пастыри и мягкое кресло,
Ослепительные сны под ярким солнечным шаром,
Курок не был нажат, когда было нужно.
Step-by-step explanation:
Answer:
$1,061
Step-by-step explanation:
2% of 1000 is 20.
If 2% is compounded yearly, then
year one- $1,020
year two- $1,040.40
year three- $1,061.21
Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.
Answer:
c(3c - 1)
Step-by-step explanation:
3c² - c
Common factor = c
Factored:
c(3c - 1)
