Problema Solution
A rectangular flower bed 30 yards long by 24 yards wide has a walk of uniform width around it. If the area of the path is one-fourth that of the flower bed, find the width of the path.
Answer provided by our tutors
area = length * width
area of the garden = 30 * 24 = 720 ft^2
area of the path = 720/4 = 180 ft^2
let 'w' represent the width of the path around the garden, then the area of the garden plus the path is:
720+180 = (30+w)(24+w)
solving for 'w' we have a positive value of w=3.149
the width of the path is approximately 3.1 ft