Ask Question
MathematicsMathematics
6 September, 06:22

Rectangle R has varying length L and width W but with a constant area of 4 square feet.

a. Express the perimeter P as a function of length L. What type of function is P? What is the domain of P?

b. Describe the asymptotic behavior of P. What can you say about rectangle R because of this behavior?

c. For what values of L and W will the perimeter of R be the least? Give a geometric explanation.

+2
Answers (1)
  1. 6 September, 06:40
    0
    A is area & constant

    A=4

    wL=A; perimeter is p; p = 2w + 2L

    w = A/L allows for p=2 x (multiplication) (A/L) + 2L

    Domain for p is L>0

    Knowing that A=4, p=2 x (multiplication) (A/L) + 2L

    p = 8/L + 2L
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Rectangle R has varying length L and width W but with a constant area of 4 square feet. a. Express the perimeter P as a function of length ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
1 Design your own real-world scenario in which the solution requires the Pythagorean Theorem. Use complete sentences to describe the scenario. 2 Model your real-world scenario with an equation and a sketch.
Answers (2)
What would be the answer to 236 + (-236)
Answers (2)
There are 220 tickets to a school's annual awards banquet. Each adult ticket, a, cost $25 in each student ticket, s, cost $15 every ticket is sold in the school makes $4,650.
Answers (1)
Mr. Strauss bought a shipment of goods for $9000. He paid $3000 in cash and agreed to pay the balace in 2 years. In these 2 years, Mr. Strauss paymrnt is $400 per month. What is the annual rate in this case
Answers (1)
To write 10-7 in standard form, you would write a decimal number with: 1s in the first 7 decimal places. 1s in the first 6 decimal places and 0 in the 7th decimal place. 0s in the first 6 decimal places and 1 in the 7th decimal place.
Answers (1)
New Questions in Mathematics
Rhonda filled her aquarium with water. Then, she took out 3 gallons to make room for the gravel and fish. She added 2 quarts back in. Then, she added 4 fish. Each fish was in a separate bag with 1 pint of water.
Answers (2)
Which pair of ratios can from a true proportion A. 7/4,21/12 B. 6/3, 5/6 C. 7/10, 6/7 D. 3/5, 7/12
Answers (1)
Brett fills up his car at a gas station selling gas for $2.10 per gallon. It takes 6 1/2 gallons of gas to fill up the car. How much does Brett spend on gas?
Answers (1)
Find the slope (2,5) and (6,2)
Answers (1)
Which expression is equivalent to pq
Answers (1)
Home » Mathematics » Rectangle R has varying length L and width W but with a constant area of 4 square feet. a. Express the perimeter P as a function of length L. What type of function is P? What is the domain of P? b. Describe the asymptotic behavior of P.
Sign Up Forgot Password?