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
#SPJ1
Answer:
3
Step-by-step explanation:
Answer:
5.75
Step-by-step explanation:
I NEEDED POINTS LOL
Answer:
0 - 20
1 -22
5 - 30
10 - 40
15 - 50
20 - 60
Step-by-step explanation:
The initial amount this equation is 20 so that is why at 0 shirts its still 20 dollars for the set up fee and 2 dollars per shirt. Now that we have this information we can actually make a linear equation
y = 2x + 20
y = the total cost
x = the number of shirts
All you have to do next is plug in the number of shirts to get the total cost
Example: 2(1) + 20 = y
2 + 20 = y
22 = y
Meaning for 1 shirt it would be 22 dollars in total
Answer:
24 i'm pretty sure sorry if i am wrong
Step-by-step explanation:
