# 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

## 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