a pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. if the area of the pool and the path is combined is 1596 square meters, what is the width of the path?

Respuesta :

Answer:

area of pool = 18×22

= 396sq.m

total area = 1596sq.m

(18+x) × (22+x) = 1596

396 + 18x + 22x + x.sq = 1596

396 + 40x + x.sq = 1596

40x + x.sq = 1200

x + x.sq/40 = 30

solve for x, you'll get

width = 20m