SOLUTION: A rectangular pool has dimensions 100m x 200m. Surround the entire pool is a concrete deck (border) of
uniform width. The area of the pool is twice the area of the concrete deck.
Algebra.Com
Question 1172033: A rectangular pool has dimensions 100m x 200m. Surround the entire pool is a concrete deck (border) of
uniform width. The area of the pool is twice the area of the concrete deck. Using an algebraic solution,
find the width of the concrete deck. Round all answers to 2 decimal places.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A rectangular pool has dimensions 100m x 200m. Surround the entire pool is a concrete deck (border) of
uniform width. The area of the pool is twice the area of the concrete deck. Using an algebraic solution,
find the width of the concrete deck.
--------------
Area of pool = 100*200 = 20000 sq meters ---- A big pool
w = width
Area of deck + pool = (100+2w)*(200+2w) = 30000
(50+w)*(100+w) = 7500
w^2 + 150w + 5000 = 7500
w^2 + 150w - 2500 = 0
Solve for w, ignore any negative solutions
RELATED QUESTIONS
Charles just finished building an underground pool in his backyard. The rectangular pool... (answered by mananth,ikleyn)
Sam has a 15 by 25 rectangular pool. He wants to pour a concrete deck of uniform width... (answered by lmeeks54)
Within a 5m by 10m area is a rectangular pool surrounded by a uniform concrete border of... (answered by jim_thompson5910)
franks pool measures 20 feet by 40 feet. frank has decided to surround his pool with a... (answered by Solver92311,ankor@dixie-net.com)
a rectangular pool is 20 feet by 28 feet a deck that has uniform width surrounds the... (answered by josgarithmetic)
The public swimming pool, which is a rectangle measuring 25 meters by 33 meters, needs a... (answered by jorel555,ikleyn)
Tom has a backyard that is 100 ft. by 60 ft. He plans to install a rectangular swimming... (answered by greenestamps)
A rectangular pool is to be built on a lot that measures 20 m by 12 m. A wooden deck of... (answered by josgarithmetic)
An engineer wants to surround a rectangular a pool with dimension 10m by 20m with a stone (answered by ikleyn,Alan3354)