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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The correct answer is C !
Answer: Scalene triangle
Step-by-step explanation:
A Scalene triangle has all of its three lengths to be different. The traingle above can not be an equilateral triangle too because all the sides aren't equal.
Also, it's not an isosceles triangle since two of its sides are not thesame. It's not a right angle triangle as the square of the hypothenuse isn't equal to the addition of the square of the other two sides.
I am not sure about b cut I think C is 10
C=hypotenuse=slant height
a=base=radius= 12 m
b=height=16 m
thus the slant height will be:
c^2=16^2+12^2
c^2=256+144
c^2=400
⇒c=sqrt (400)
c=20
<span>Therefore, thaaa answer is 20
</span>
<span>Hope This Help................ Have A Nice Daaaay! </span>
