Problema Solution
A rectangular field 70m long and 50m wide, has a path of uniform width around it.If the area of the path is 1024m,find the width of the path.
Answer provided by our tutors
let 'x' be the width of the path, x>0 then the area of the path will be
the total area (field + path) - the field area = the path area
(70 + 2x)*(50 + 2x) - 70*50 = 1024
by solving we find and consider only the positive roots since x>0
x = 4 m
the width of the path is 4m.