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:
brainly.com/question/24487155
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First, solve for slope.
Formula for slope:
Plug in values:
Slope:
Second, we must plug into point-slope form.
Formula for point-slope:
Plug in the values
hope this helps
The correct answer is -15 because the absolute value is 15 but there is a negative outside the absolute value lines making it negative :)
2/9 = 0.2222 or 0.22
3/9 = 0.3333 or 0.33
4/9 = 0.4444 or 0.44
Answer:
Carry
Step-by-step explanation:
Here let’s take any arbitrary value for the number of properties sold by Ellen.
Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties
Bob sold 3 more than Ellen, meaning he sold 13.
Carry sold twice of Bob meaning he sold 26
Dora sold the addition of Bob and Ellen = 13 + 10 = 23
Carry sold 26 and this makes him the highest seller.
