SOLUTION: If a swimming pool has a perimeter of 18 meters and covers an area of 18 square meters what are its dimensions?
Algebra.Com
Question 678007: If a swimming pool has a perimeter of 18 meters and covers an area of 18 square meters what are its dimensions?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If a swimming pool has a perimeter of 18 meters and covers an area of 18 square meters what are its dimensions?
:
Perimeter
2L + 2W = 18
simplify, divide by 2
L + W = 9
L = (9-W)
:
Area
L * W = 18
replace L with (9-W)
W(9-W) = 18
A quadratic equation
-W^2 + 9W - 18 = 0
Easier to factor if coefficient of W^2 is positive, mult eq by -1
W^2 - 9W + 18 = 0
Factors to
(W-3)(W-6) = 0
Two solutions
W = 3, then L = 6
W = 6, then L = 3
RELATED QUESTIONS
The bottom of a rectangular swimming pool has an area of 570 square meters. Its perimeter (answered by josgarithmetic)
The perimeter of a rectangular pool is 32 meters, and it's area is 48 square meters, What (answered by ikleyn)
A rectangular field has a perimeter of 220 meters and an area of 2,856 square meters.... (answered by mananth)
the lenth of a swimming pool is 2 meters more than its width. if its area is 35 sq.... (answered by CubeyThePenguin)
a pool measuring 18 meters by 28 meters. if the area of the pool and the path combined is (answered by math-vortex)
a swimming pool has an area of 40 square meters and a perimeter of 26 meters. What is... (answered by Alan3354,stanbon)
the length of a swimming pool is 23 meters more than its width. if its area is 420 swaure (answered by Alan3354)
The perimeter of a rectangular dining room is 18 meters. The area is 18 square meters.... (answered by Theo,MathTherapy)
A rectangular swimming pool is 10 meters longer than twice its width. Determine the... (answered by tiffany222,addingup)