Question

A rectangular plot measures 12 m by 5 m. A path of constant width runs along one side and one end. If the total area of the plot and the path is 120 m², find the width of the path. (Hint: Make a sketch and let the width of the path be x m.)​

Answer 1

A rectangular plot measures 12m by 5m.

A path of width constant width runs along one side and one end.

if the total area of the plot and path is physics 120m find the width of the path.

:

Let x = the width of the path

with a path on one side and one end the overall dimensions will be:

(x+12) by (x+5)

:

Area:

(x+12)*(x+5) = 120

FOIL

x^2 + 5x + 12x + 60 = 120

x^2 + 17x + 60 - 120 = 0

x^2 + 17x - 60 = 0

Factors to

(x+20)(x-3) = 0

Positive solution

x = 3 meters is the width of the path