x = 26 m is the width of the pool, length: 29+4 = 33 m.
Step-by-step explanation:
We have A rectangular pool is surrounded by a walk 3 meters wide. The pool is 4 meters longer than its width. If the total area of the pool walk is 372 square meters more than the area of the pool.
Let the width of the pool = x
Then the length will = (x+4) ,over all dimensions will be (x+6) by (x+6+4) or (x+10)
Total area - pool area = 372
[tex](x+10)*(x+6) - x(x+4) = 372\\x^{2}+16x+60-x^{2}-4x = 372\\12x+60 = 372\\12x = 372-60\\12x = 312\\x = 26[/tex]
∴ x = 26 ft is the width of the pool, length: 29+4 = 33 ft
