You have a pool that measure 15 yards by 10 yards. You want to build a deck around all four sides of the pool and you want to increase the total area to 250 square yards. What is the width of the deck?

1 answer

Total Area= 4w^2 + 2*15w+2*10w=250

2w^2+25w-125=0

w=(-25+-sqrt(625+1000))/4
w=(-25+-sqr(1625)/4=15.3/4

check:

area=4(15.3/4)^2 + 50(15.3/4)=
=250