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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Answer:
3 <_ x
Step-by-step explanation:
multiply both sides by 15
1/5 * 15 <_ x
15/5 <_ x
3 <_ x
Answer:
23 %
Step-by-step explanation:
151.34 ÷ 658 × 100
hope this helps
have a nice day <3
A mixed number is a whole number plus a fraction.
the smallest whole number is 1.
so no mixed number could be lees than 1.
mixed numbers that are 1/5 apart and are between 6 and 7
1-6/1 or 2-71
Answer:
a) 
b) 
Step-by-step explanation:
a) 
1. Distribute the second power (2) outside the first pair of parenthesis:
= 
2. Distribute the third power (3) outside the second pair of parenthesis:
= 
3. Combine like terms:
--------------------------------------------
b) 
1. Factor the number 6 (= 2 · 3):
2. Cancel the common factor (2):
3. Cancel out 
in the numerator an denominator:
hope this helps!
