algebra
posted by Dede .
A rectangular swimming pool is twice as long as it is wide. A small walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.: *

call the width w
then the length is 2w
then the total width including the walkway on each side is (w+4)
and the length including the walkway on each end is
(2w+4)
We are told that the total area including the walkway minus the area of the pool itself is 196 ft^2
so
(2w+4)(w+4)  2w^2 = 196
2 w^2 + 12 w + 16  2 w^2 = 196
You can take it from there I think
I get 15 by 30
Respond to this Question
Similar Questions

4th grade
Mr. Kimball has a swimming pool that measures 20 feet long by 15 feet wide. He is adding a walkway around the pool that is 3 feet wide all around. What will be the perimeter of the walkway? 
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. … 
Math
I need some help with this problem please!! your parents are installing a rectangular inground pool with the dimensions 24 feet by 10 feet. They decide to place a walkway around the pool 3 feet wide. What is the area of the proposed … 
Geometry
a rectangular swimming pool has an area of double 1500ft. The rectangular pool is 50ft. The rectangular walkway that surrounds the pool is 4ft. How many feet of fencing do you need to surround the walkway? 
Math
A rectangular pool measuring 6 feet by 12 feet is surrounded by a walkway. The width of the walkway is the same on all four sides of the pool. If the total area of the walkway and pool is 520 square feet, what is the number of feet … 
Algebra
A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool. 
Geometry
emily has a square swimming pool that has the side length of 20 feet. She has a walkway that is 6 feet wide. How much fencing will she need to but to enclose the pool and walkway? 
Geometry
A rectanglular swimming pool has a length of 25 feet and a width of 12 feet. You want to ass a gravel walkway that is 4 feet wide all the way around the pool. What is the area of the gravel walkway 
Maths
A rectangular pool is 40 meters long and 30 feet wide. A walkway 3 feet wide surrounds the pool. What is area of the walkaway. A 120 B 456 C 1191 D 1200 
math
PLEASE HELP A rectangular hot tub is 6 feet long and 5 feet wide.A walkway 3 feet wide surrounds the hot tub.Find the area of the walkway A:30 square feet B:65 square feet C:102 square feet D:132 square feet