posted by .

0. Tell your classmates about your pet to set up the scenario for fencing a rectangle in your yard.
1. You MUST start by choosing an amount of area that you want to fence in for your pet and this MUST be stated first. What amount of area are you enclosing with a fence for your pet? (A = 1000 sq. ft or A = 200 sq. yards or A = 500 sq. meters or...)
2. Next, you MUST choose a relationship between the length and the width of the rectangle (e.g., L = 2W - 3 or W = L - 10 or L = W + 20 or ...)
3. Next, you MUST create a quadratic equation from the choices you made in 1 and 2 above. For example, if area was chosen to be A = 1000 sq. ft. and L = W + 20, then A = L*W = (W + 20)*W = W^2 + 20*W, so 1000 = W^2 + 20*W, and that is a quadratic equation.
NOTE: I could also write a quadratic equation here in terms of L as: since L = W + 20, then W = L - 20, so A = L*W = L*(L - 20) = L^2 - 20*L, and then replacing A by 1000, the quadratic equation will be, 1000 = L^2 - 20*L. Either way will give exactly the same length and width for the rectangular fenced-in area.
4. Next, using either factoring or the quadratic formula you MUST SOLVE this quadratic equation for W (or L if your quadratic equation is in terms of L).
5. Next, you MUST solve for the other side's dimension using L = W + 20. If the quadratic equation is in terms of W, then replace W by the solution to the quadratic equation; if the quadratic equation is in terms of L, then replace L in L = W + 20 and solve for W.
6. Next, you MUST show the calculations for the perimeter, P = 2*L + 2*W.
7. Finally, you MUST summarize the meanings of your calculations in the context of your stated pet scenario.

  • algebra -

    What area, length and width are you choosing?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. College Physics

    Have you ever wondered what to do with your unused pet while on vacation?
  2. Physics

    Have you ever wondered what to do with your unused pet while on vacation?
  3. Algebra

    you start a pet sitting service. you spend $35 on advertising. You plan to change $5 on a day to watch each pet. a) write an equation to relate your daily income y to the number of pets x you watch. b) how many days do you need to …
  4. 5th grade math

    suppose you are building a fence for a garden in your yard. your yard is 50 ft wide and has an area of 500 square ft. your father has 88 feet of garden fencing,so your garden has to have a perimeter of 88 ft. how big an area would …
  5. AP Calculus

    The management of a large store has 1600 feet of fencing to fence in a rectangular storage yard using the building as one side of the yard. If the fencing is used for the remaining 3 sides, find the area of the largest yard possible.
  6. Math

    I need to design a site plan for a wildlife centre. In order to save money, I must design the plan using the least amount of fencing possible. The plot of land is 80 m wide by 100 m long, and it must be fenced off. Each section for …
  7. Algebra

    Manuel plans to install a fence around the perimeter of his yard. His yard is shaped like a square and has an area of 40,000 square feet. The company that he hires charges $2.50 per foot for the fencing and $50.00 for the installation …
  8. Food Technology

    I made two different ketchup. One ketchup brix is 26 and another is 29. I want to fill both ketchup in pet bottle. pet bottle is 500ml. Please tell me if I fill ketchup with different brix 26 & 29 in 500ml pet bottle so how much weight …
  9. Math

    Clark's Country Pet Resort is fencing a new play area for dogs. The manager has purchased 186 yd of fence to enclose a rectangular pen. The area of the pen must be 2156 yds^2. What are the dimensions of the‚Äč pen?
  10. algebra

    I want to fence a rectangular garden which measures 33 by 24 feet. If the fencing I want costs $4.50 per yard, how much will it cost me for the fencing if I want to leave a two foot opening for a gate?

More Similar Questions