Problema Solution
a rectangular field, 70 m long and 50 m wide, has a path of uniform width around it. if the area of the path is 1024 m square , find the width of the path.
Answer provided by our tutors
let 'x' be the width of the path, x>0
the are of the path = 780 m^2
the total area - the area without the path = the area of the path
(70 + 2x)(50 + 2x) - 70*50 = 780
by solving this quadratic equation we find the roots and consider only the positive ones
x = 3.09 m
the width of the path is 3.09m.