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:
a
Step-by-step explanation:
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~
I'm assuming your talking about least to greatest, OR greatest to least. If so, that's what I'll do...
Least to Greatest: -1, 3, 5, 17, 20
Greatest to Least: 20, 17, 5, 3, -1
~~~~~~~~~~~~
Unfortunately I did not completely understand the question, for future reference please give AS MUCH detail as possible so that your fellow brainly members can help you ASAP...
And thanks for using Brainly!
Answer:
615.44 in²
Step-by-step explanation:
The shape of Captain America's shield = Circular
The area of a circle = πr²
The radius of the whole shield = 14 inches.
The first ring = Red ring
Hence, the area of the red ring =
π = 3.14
3.14 × 14²
= 615.44 in²
The area of the space he needs to paint red is 615.44 in²
