Question

a deck surrounds a pool and the deck area is 592 square meters and deck width is 4 m. the pool dimension =(w + 4)(w + 14) l = w+10. what does w =?

Answer 1

If the length is w+10, then you have a 4xw deck across each end and a 4x(w+10) strip along each length, plus 4 4x4 corners.

2*4*w + 2*4*(w+10) + 4*4*4 = 592
8w + 8w + 80+ 64 = 592
w = 28

check:
pool area = 28x38 = 1064
total area = 36x46 = 1656
deck area = 1656-1064 = 592