1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly_w [17]
2 years ago
11

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f

encing and does not fence the side along the street, what is the largest area that can be enclosed?
a.12100 square feet
B. 6050 square feet
C. None of these.
D. 9075 square feet
E. 3025 square feet

Mathematics
1 answer:
MrRa [10]2 years ago
8 0

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

Y + 2X = 220

Y = 220 - 2X

Area of a rectangle is determined by multiplying the length of perpendicular sides:

Area = X*Y

Area = X(220 - 2X)

Area = 220X - 2X^{2}

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

f(a) = a^{b}

f'(a) = ba^{b-1}

Using the above concepts to differentiate Area and calculate X will give:

Area = 220X - 2X^{2}

Area' = 220 - 4X = 0

X = 55

Calculating Y:

Y = 220 - 2X

Y = 220 - 2(55)

Y = 110

Calculating Area:

Area = X*Y

Area = 55*110

Area = 6050\sqfeet

You might be interested in
A quadratic equation that can be written as the difference of squares has...
quester [9]

Answer: C two solutions

Step-by-step explanation:  

The Difference of Two Squares theorem says that any time an equation may be written as a difference between squares A² - B² = 0 it may be rewritten as two products, the sum and difference of the square roots (A + B) (A - B)

Hope this helped :)

6 0
2 years ago
Read 2 more answers
Johnathan plans on using 2" x 12" boards that cost $2.50 per foot. Assuming he can purchase the exact amount he needs, how much
Kitty [74]

Answer:

$35

Step-by-step explanation:

7 0
3 years ago
In the sequence generated by the formula a, = n -4, which term has a value of 8?
ZanzabumX [31]
Answer

Sksjkskskalalaalalskkskdkskskskskksksksksk

Explanation:
Hope that helps
5 0
3 years ago
Bill wants to see how many times he needs to roll a standard number cube before getting a 5. What is the probability that Bill w
chubhunter [2.5K]
5/6 • 5/6 • 1/6 = 25/216 the answer is b
5 0
3 years ago
Read 2 more answers
Expand the expression 10 (n-8)
Tcecarenko [31]
10n-80 is the answer
8 0
3 years ago
Other questions:
  • a countrys population in 1995 was 162 million. in 1999 it was 167 million. Estimate the population in 2004 using the exponention
    13·2 answers
  • Find the value of x in the given ratio 2x/21=12/18
    9·2 answers
  • Is it linear or not if it's not explain
    8·1 answer
  • A function is shown in the table:
    7·2 answers
  • The temperature went from -16 to 7. What was the change in temperature?
    14·1 answer
  • In a coordinate plane, triangle ABC has vertices A(- 4, 5), B(- 4, - 4) , and C(3,-4), . Find the perimeter of triangle ABC to t
    9·1 answer
  • Help me! I need the surface area and volume please explain how you got that answer!
    5·1 answer
  • Yooooooo somebody help me...
    13·1 answer
  • PLEASE HELP WILL GIVE BRANLIEST
    8·1 answer
  • The length of the rectangle is 4 times its width. If the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!