math

posted by .

Im doing my homework and it provides barely any info. here is the question.
Mr Harrison has a very large backyard. He contacted the Clover Pool Company to have a pool installed in the shape of a rectangle. The Clover Pool Company would build a pool that has a perimeter of 72 yards. Mr. Harrison would be allowed to choose the dimensions (length and width) of the pool.He chose the dimensions that would give him a greatest area possible. What are the dimensions of the pool that would give Mr. the greatest area?

  • math -

    If L is the length and W is the width,
    2(L+W) = 72
    L+W = 36
    W = 36 -L
    Area = L(36 -L)= 36L- L^2
    Set dA/dL = 0 = 0 and solve for L, if you know calculus. If you don't, rewrite the above equation as
    Area = 18^2 - (L-18)^2
    This is a maximum when the (L-18) term is zero, so L = 18.

  • math -

    thanks dude you rock

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Im doing my homework and it provides barely any info. here is the question.
  2. pH calculations

    A backyard pool as a pH of 7.4. At this level, the concentrations of hypochlorus acid and hypochlorite are approximetly equal. HClO(aq) <--> H^+ (aq) + ClO^- (aq) (a) Predict the effect of increasing pH has on the concentration …
  3. math

    Mr. Harrison has a very large backyard. He contacted the Clover Pool Company to have a pool installed in the shape of a rectangle. The Clover Pool Company would build a pool that has a perimeter of 72 yards. Mr. Harrison would be allowed …
  4. math

    can u please help me with this math problem. i don't get how to do this question. Mrs. Mabie has a rectangle swimming pool that measures 25 feet by 14 feet. She wants to have a cement walkway installed around the perimeter of the pool. …
  5. Math

    A family put a swimming pool in their backyard the rectangular backyard measures 20 by 12. The area of the pool is 1/6 the size of the area of the backyard. what is the area of the pool?
  6. math

    Mabel is installing a square pool in her backyard and wants a circular fence to enclose the pool to create 4 grassy areas around the pool as show in the figure. If the pool is located at the coordinates (1, 5), (5, 8), (4, 1), and …
  7. Math

    Mabel is installing a square pool in her backyard and wants a circular fence to enclose the pool to create 4 grassy areas around the pool as show in the figure. If the pool is located at the coordinates (1, 5), (5, 8), (4, 1), and …
  8. Math

    The Walters' backyard pool is rectangular in shape and is similar to the rectangle formed by their fenced backyard. The pool measures 10 ft long and 8 ft wide. If the length of the backyard is 35 ft long, what is the width of the backyard?
  9. Math

    The Walters' backyard pool is rectangular in shape and is similar to the rectangle formed by their fenced backyard. The pool measures 10 ft long and 8 ft wide. If the length of the backyard is 35 ft long, what is the width of the backyard?
  10. Math

    A rectangular swimming pool is 6 meters longer than the width of the pool. A pool deck (sidewalk) that surrounds the pool is 4 meters wide (all the way around the pool). The combined area of the pool deck and pool together (outer rectangle) …

More Similar Questions