A neighborhood swimming pool is 12 meters longer than it is wide.

Question

A neighborhood swimming pool is 12 meters longer than it is wide. it is surrounded by a 2 meter wide walkway. The walkway has a total area of 168 square meters. What are the dimensions of the swimming pool?

Answer 1

L=12+W

walkway area = 168 m^2

it's 2 meters wide around the pool

area of pool plus walkway = (L+4)(W+4) 2 meters on each side, for 4 total

= (12W+4)(W+4)

= 12W^2 + 52W + 16 = 168 + (LW)

= 168+ (12+W)W

= 168+ 12W +W^2

12W^2 +52W +16 = 12W +W^2+ 168

11W^2 +40W - 152 = 0

W = -40/22 + (1/22)sqr(40^2 +44(152))

W = -20/11 + (1/22)sqr(1600+6688)

W = -20/11 + sqr8288/22

W = about -20/11 + 4.14

W= about -1.82 + 4.14

W = about 2.32 meters Wide

L= 12 + 2.32 = 14.32 meters Long

swimming pool is about 2.32 by 14.32 meters