Geometry
posted by Christina .
A rectangular swimming pool that is 12ft by 15 ft has a deck of uniform width built around it. If the area of the deck is 198 square feet, find its width.

Geometry 
drwls
(12 +2w)(15 + 2w)= 198 + 180
4w^2 + 54 w  198 = 0
2w^2 + 27w 99 = 0
(2w + 33)(w  3) = 0
w = 3 ft
Respond to this Question
Similar Questions

Math
A rectangular swimming pool that is 12ft by 15 ft has a deck of uniform width built around it. If the area of the deck is 198 square feet, find its width. 
math
Helga owns a campground, and she has installed a rectangular swimming pool measuring 10m by 20m. She wants to put a wooden deck of uniform width around the pool. A. Helga has budgeted $1920 to spend on the deck and knows that construction … 
Math (Area)
I need help on where to begin with this problem. You are installing a new deck around your pool. The pool is rectangular with the dimensions 8m by 4m. The deck will surround the pool and will have a width by 2m. What is the area of … 
MATH  area question
I need help on where to begin with this problem. You are installing a new deck around your pool. The pool is rectangular with the dimensions 8m by 4m. The deck will surround the pool and will have a width by 2m. What is the area of … 
geometry
A circular pool with a diameter of 32 feet is surrounded by a wood deck of uniform width. If the area of the deck is 68π square feet, what is x, the width of the deck? 
math
A deck is being built around a rectangular swimming pool. The swimming pool is 20 ft × 12 ft and the deck has a uniform width of 6 ft. What is the area of the deck only? 
Algebra help
You are building a concrete deck around a rectangular swimming pool. The pool is three times as long as it is wide. The deck will have a constant width of four feet. In order to have enough concrete, you have calculated the area of … 
Math
there is a swimming pool, 3 meters in width and 4 meters in length. the owner wants to built a uniform deck around the swimming pool which is 3 times of the area of the pool. what's the width of the deck? 
Math
A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is 320 square feet, what is the area of the deck itself? 
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) …