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:
2000
Step-by-step explanation:
S.I=P×rate / 100×time
30000×8 / 100×5/6
=2000
Answer:
6 ways
Step-by-step explanation:
Given:
Books: Spanish, Maths and History textbooks (1 each)
Required
Determine the number of arrangements
In total, Nathan has 3 books.
The number of arrangements (n) is as follows:
The first book can be lined in 3 ways
The second book can be lined in 2 ways
The third book can be lined in 1 way
So,
2.2to 4 pages in a minute because 12 divided by 3 is 4 and 12 divided by 5 is 2.2
